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Finite group with given Hall normally embedded subgroups 具有给定霍尔常内含子群的有限群
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-03-06 DOI: 10.1007/s11587-024-00850-z
Xuanli He, Qinhui Sun, Jing Wang
{"title":"Finite group with given Hall normally embedded subgroups","authors":"Xuanli He, Qinhui Sun, Jing Wang","doi":"10.1007/s11587-024-00850-z","DOIUrl":"https://doi.org/10.1007/s11587-024-00850-z","url":null,"abstract":"<p>Let <i>G</i> be a finite group. A subgroup <i>H</i> of <i>G</i> is called Hall normally embedded in <i>G</i> if <i>H</i> is a Hall subgroup of the normal closure <span>(H^G)</span>. In this paper, we fix a subgroup <i>D</i> of Sylow <i>p</i>-subgroup <i>P</i> of <i>G</i> with <span>(1&lt;|D|&lt;|O_p(G)|)</span> and study the structure of <i>G</i> under the assumption that all subgroups <i>H</i> of <i>P</i> with order <span>(|H|=|D|)</span> are Hall normally embedded in <i>G</i>.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"66 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140044829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On special Clifford groups and their characteristic classes 论特殊克利福德群及其特征类
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-03-02 DOI: 10.1007/s11587-024-00848-7
Nikita A. Karpenko
{"title":"On special Clifford groups and their characteristic classes","authors":"Nikita A. Karpenko","doi":"10.1007/s11587-024-00848-7","DOIUrl":"https://doi.org/10.1007/s11587-024-00848-7","url":null,"abstract":"<p>We prove a conjecture on the Chow ring of characteristic classes for the special Clifford groups. This conjecture was the only obstacle for obtaining an algorithm computing the maximal indexes of twisted spin grassmannians.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"31 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140016933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on a theorem on conjugacy class sizes 关于共轭类大小定理的说明
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-02-29 DOI: 10.1007/s11587-024-00849-6
Qingjun Kong, Mengjiao Shi
{"title":"A note on a theorem on conjugacy class sizes","authors":"Qingjun Kong, Mengjiao Shi","doi":"10.1007/s11587-024-00849-6","DOIUrl":"https://doi.org/10.1007/s11587-024-00849-6","url":null,"abstract":"<p>Let <span>(p)</span> be a fixed prime, <span>(a)</span> and <span>(n)</span> are positive integers such that <span>((p,n) = 1)</span>. It is shown that if <span>(G)</span> is a finite group such that for every prime <span>(q)</span> the set of the conjugacy class sizes of all <span>({ p,q} -)</span> elements of <span>(G)</span> is <span>(left{ {1,p^{a} {,}n,p^{a} n} right})</span>, and there is a <span>(p -)</span> element in <span>(G)</span> whose conjugacy class has size <span>(p^{a})</span>, then <span>(G)</span> is nilpotent and <span>(n)</span> is a prime power.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"46 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140011200","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Acceleration waves in a spherical oscillating gas bubble containing a gas mixture 含有混合气体的球形振荡气泡中的加速波
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-02-06 DOI: 10.1007/s11587-024-00846-9
Francesca Brini, Leonardo Seccia
{"title":"Acceleration waves in a spherical oscillating gas bubble containing a gas mixture","authors":"Francesca Brini, Leonardo Seccia","doi":"10.1007/s11587-024-00846-9","DOIUrl":"https://doi.org/10.1007/s11587-024-00846-9","url":null,"abstract":"<p>The non-equilibrium phenomena that characterize the dynamics of an oscillating bubble in a liquid are generally very complex. In this work we study the effects produced by the presence of a gas mixture in which the temperatures of each species are taken into account. Acceleration waves are used to test the stabilizing effects of the model and verify the possibility of shock formation within the bubble. It is shown that the diffusion associated with the presence of multiple temperatures cannot be neglected when describing what happens inside the bubble, even in the sonoluminescence regime.\u0000</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"22 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139762238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modelling the impact of opinion flexibility on the vaccination choices during epidemics 模拟舆论灵活性对流行病期间疫苗接种选择的影响
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-02-03 DOI: 10.1007/s11587-023-00827-4
Rossella Della Marca, Marco Menale
{"title":"Modelling the impact of opinion flexibility on the vaccination choices during epidemics","authors":"Rossella Della Marca, Marco Menale","doi":"10.1007/s11587-023-00827-4","DOIUrl":"https://doi.org/10.1007/s11587-023-00827-4","url":null,"abstract":"<p>Spontaneous behavioural responses of individuals to epidemics are a relevant factor in the understanding of infection dynamics. In this work, we consider a vaccine–preventable infectious disease spreading within a population, where vaccination is on a voluntary basis and individuals can conform to either the <i>pro–vaccine</i> or the <i>anti–vaccine</i> group. A switch of vaccinating attitude may occur following an imitation game dynamics. In particular, we incorporate the role of individuals’ opinion <i>flexibility</i>, that is a measure of the personal propensity to change opinion, in the switch of vaccinating attitude. We consider a disease dynamics of Susceptible–Infected–Removed type. Then, we use the tools of kinetic theory to describe the overall system at microscopic, mesoscopic and macroscopic scale. Finally, the role of flexibility of opinion on the vaccination choice during an epidemic is shown by providing some numerical simulations.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"36 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139678127","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On recognition of the direct squares of the simple groups with abelian Sylow 2-subgroups 关于具有无性 Sylow 2 子群的简单群的直方的识别
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-02-01 DOI: 10.1007/s11587-024-00847-8
Tao Li, Ali Reza Moghaddamfar, Andrey V. Vasil’ev, Zhigang Wang
{"title":"On recognition of the direct squares of the simple groups with abelian Sylow 2-subgroups","authors":"Tao Li, Ali Reza Moghaddamfar, Andrey V. Vasil’ev, Zhigang Wang","doi":"10.1007/s11587-024-00847-8","DOIUrl":"https://doi.org/10.1007/s11587-024-00847-8","url":null,"abstract":"<p>The spectrum of a group is the set of orders of its elements. Finite groups with the same spectra as the direct squares of the finite simple groups with abelian Sylow 2-subgroups are considered. It is proved that the direct square <span>(J_1times J_1)</span> of the sporadic Janko group <span>(J_1)</span> and the direct squares <span>({^2}G_2(q)times {^2}G_2(q))</span> of the simple small Ree groups <span>({^2}G_2(q))</span> are uniquely characterized by their spectra in the class of finite groups, while for the direct square <span>(PSL_2(q)times PSL_2(q))</span> of a 2-dimensional simple linear group <span>(PSL_2(q))</span>, there are always infinitely many groups (even solvable groups) with the same spectra.\u0000</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"3 1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139661633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Two classes of exact solutions in the linear elastodynamics of transversely isotropic solids 横向各向同性固体线性弹性力学中的两类精确解法
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-01-13 DOI: 10.1007/s11587-023-00845-2
Kumbakonam R. Rajagopal, Giuseppe Saccomandi, Luigi Vergori
{"title":"Two classes of exact solutions in the linear elastodynamics of transversely isotropic solids","authors":"Kumbakonam R. Rajagopal, Giuseppe Saccomandi, Luigi Vergori","doi":"10.1007/s11587-023-00845-2","DOIUrl":"https://doi.org/10.1007/s11587-023-00845-2","url":null,"abstract":"<p>Due to the formal resemblance of some models for the Cauchy stress tensor of elastic solids and viscous fluids, some classes of exact solutions for the equations governing the flows in Navier–Stokes fluids have been generalized to linear and nonlinear elastodynamics. In this paper, we study the conditions under which two special classes of generalized Beltrami flows, the vortices in lattice form and Kelvin’s cat’s eye solutions, are solutions of the equations governing the motions in a linearly elastic transversely isotropic solid.\u0000</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"59 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139459334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the CSS-subgroups and the supersolvabilty of a finite group 论有限群的 CSS 子群和超可溶性
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-01-11 DOI: 10.1007/s11587-023-00839-0
Xianhe Zhao, Yuxin Zhao, Ruifang Chen, Xiuyun Guo
{"title":"On the CSS-subgroups and the supersolvabilty of a finite group","authors":"Xianhe Zhao, Yuxin Zhao, Ruifang Chen, Xiuyun Guo","doi":"10.1007/s11587-023-00839-0","DOIUrl":"https://doi.org/10.1007/s11587-023-00839-0","url":null,"abstract":"<p>Recall that a subgroup <i>H</i> of a finite group <i>G</i> is said to be a <i>CSS</i>-subgroup of <i>G</i> if there is a normal subgroup <i>T</i> of <i>G</i> such that <span>(G=HT)</span>, and <span>(Hcap T)</span> is <i>SS</i>-quasinormal in <i>G</i>. Clearly, both the <i>c</i>-normal subgroups and the <i>SS</i>-quasinormal subgroups are the <i>CSS</i>-subgroups, but the converse does not hold. In this paper, based on the research of <i>c</i>-normality and <i>SS</i>-quainormality, with the help of the group formation theory, we investigate the supersolvabilty of <i>G</i> by assuming that the subgroups with order |<i>D</i>| are <i>CSS</i>-subgroups of <i>G</i>, where |<i>D</i>| is a prime power. Some relevant results to the <i>c</i>-normality and the <i>SS</i>-quainormality are generalized.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139459204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A characterization of $$(K_n,U^-)$$ in the class L(3) 类 L(3) 中 $$(K_n,U^-)$$ 的特征描述
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-01-11 DOI: 10.1007/s11587-023-00844-3
Soudabeh Dalvandi, Farideh Heydari, Mohammad Maghasedi
{"title":"A characterization of $$(K_n,U^-)$$ in the class L(3)","authors":"Soudabeh Dalvandi, Farideh Heydari, Mohammad Maghasedi","doi":"10.1007/s11587-023-00844-3","DOIUrl":"https://doi.org/10.1007/s11587-023-00844-3","url":null,"abstract":"<p>Let <span>((K_{n},H^-))</span> be a complete sigraph whose negative edges induce a subgraph <i>H</i>. Let <i>L</i>(3) be the class of all sigraphs having exactly three non-negative eigenvalues (including their multiplicities). In this paper, we characterize <span>((K_n,U^-)in L(3))</span>, where <i>U</i> is a non-spanning unicyclic subgraph of <span>( K_n )</span>.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139459809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of neural system under the influence of a magnetic flux 磁通量影响下的神经系统动力学
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-01-02 DOI: 10.1007/s11587-023-00828-3
Monica De Angelis
{"title":"Dynamics of neural system under the influence of a magnetic flux","authors":"Monica De Angelis","doi":"10.1007/s11587-023-00828-3","DOIUrl":"https://doi.org/10.1007/s11587-023-00828-3","url":null,"abstract":"<p>An autonomous model describing biological aspects of synapses affected by electromagnetic fields, is considered. A quaternary system comparable to the third-order FitzHuh–Rinzel (FHR) model is obtained. Linear stability criteria and conditions for Hopf bifurcations are achieved also by means of a ternary auxiliary spectrum showing that some of the resulting conditions recall those related to critical solutions of the FHR system.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"21 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139082529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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