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The norm of the derived series in a finite group 有限群中导出数列的规范
IF 1.1 4区 数学
Ricerche di Matematica Pub Date : 2024-07-16 DOI: 10.1007/s11587-024-00879-0
Baojun Li, Hao Wu, Libo Zhao, Lu Gong
{"title":"The norm of the derived series in a finite group","authors":"Baojun Li, Hao Wu, Libo Zhao, Lu Gong","doi":"10.1007/s11587-024-00879-0","DOIUrl":"https://doi.org/10.1007/s11587-024-00879-0","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141644172","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
Automorphisms fixing every normal subgroup of an extraspecial $$mathbb {Z}$$-group 固定外特殊 $$mathbb {Z}$$ 群的每个正常子群的自动态
IF 1.1 4区 数学
Ricerche di Matematica Pub Date : 2024-07-16 DOI: 10.1007/s11587-024-00877-2
Tao Xu, Heguo Liu, Ruihong Wang
{"title":"Automorphisms fixing every normal subgroup of an extraspecial $$mathbb {Z}$$-group","authors":"Tao Xu, Heguo Liu, Ruihong Wang","doi":"10.1007/s11587-024-00877-2","DOIUrl":"https://doi.org/10.1007/s11587-024-00877-2","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141643596","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
$$D_{alpha }$$-spectrum of subdivision join of graphs 图的细分连接的 $$D_{α }$$ 谱
IF 1.1 4区 数学
Ricerche di Matematica Pub Date : 2024-07-16 DOI: 10.1007/s11587-024-00874-5
Sakthidevi Kaliyaperumal, Kalyani Desikan
{"title":"$$D_{alpha }$$-spectrum of subdivision join of graphs","authors":"Sakthidevi Kaliyaperumal, Kalyani Desikan","doi":"10.1007/s11587-024-00874-5","DOIUrl":"https://doi.org/10.1007/s11587-024-00874-5","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141641128","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
An extension of the Poincaré–Birkhoff Theorem to systems involving Landesman–Lazer conditions 庞加莱-伯克霍夫定理向涉及兰德斯曼-拉泽尔条件的系统的扩展
IF 1.1 4区 数学
Ricerche di Matematica Pub Date : 2024-07-15 DOI: 10.1007/s11587-024-00875-4
A. Fonda, Natnael Gezahegn Mamo, Andrea Sfecci
{"title":"An extension of the Poincaré–Birkhoff Theorem to systems involving Landesman–Lazer conditions","authors":"A. Fonda, Natnael Gezahegn Mamo, Andrea Sfecci","doi":"10.1007/s11587-024-00875-4","DOIUrl":"https://doi.org/10.1007/s11587-024-00875-4","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141648682","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 exponential polynomials 关于指数多项式的说明
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-07-04 DOI: 10.1007/s11587-024-00871-8
Antongiulio Fornasiero, Giuseppina Terzo
{"title":"A note on exponential polynomials","authors":"Antongiulio Fornasiero, Giuseppina Terzo","doi":"10.1007/s11587-024-00871-8","DOIUrl":"https://doi.org/10.1007/s11587-024-00871-8","url":null,"abstract":"<p>We investigate the zero sets of complex exponential polynomials in one variable with only one iteration. We characterize when such polynomials have the same zero set in terms of the radical ideals. Moreover we give a bound on the multiplicity of zeros.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141550345","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
Finite supersolvable groups and Hall normally embedded subgroups of prime power order 有限可超溶群和霍尔素幂级数常内含子群
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-07-03 DOI: 10.1007/s11587-024-00873-6
Weicheng Zheng, Wei Meng
{"title":"Finite supersolvable groups and Hall normally embedded subgroups of prime power order","authors":"Weicheng Zheng, Wei Meng","doi":"10.1007/s11587-024-00873-6","DOIUrl":"https://doi.org/10.1007/s11587-024-00873-6","url":null,"abstract":"<p>Let <i>G</i> be a finite group. A group <i>G</i> is called a <i>T</i> group if its every subnormal subgroup is normal. 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 <span>(H^G)</span>, where <span>(H^G)</span> is the normal closure of <i>H</i> in <i>G</i>. Using the notion of Hall normally embedded subgroups, we characterize supersolvable groups and solvable <i>T</i>-group. First, we prove that if every cyclic subgroup of <i>G</i> of order prime or 4 is Hall normally embedded in <i>G</i>, then <i>G</i> is supersolvable with a well defined structure. Second, we prove that an <i>A</i>-group <i>G</i> is supersolvable if and only if its Sylow subgroups are products of cyclic Hall normally embedded subgroups of <i>G</i>. Final, we show that <i>G</i> is a solvable <i>T</i>-group if and only if every <i>p</i>-subgroup of <i>G</i> is Hall normally embedded in <i>G</i>, for all primes <span>(pin pi (G))</span>.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141550259","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
Groups whose non-normal subgroups are either nilpotent or minimal non-nilpotent 非正则子群为零或最小非零的群
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-06-29 DOI: 10.1007/s11587-024-00870-9
Nasrin Dastborhan, Hamid Mousavi
{"title":"Groups whose non-normal subgroups are either nilpotent or minimal non-nilpotent","authors":"Nasrin Dastborhan, Hamid Mousavi","doi":"10.1007/s11587-024-00870-9","DOIUrl":"https://doi.org/10.1007/s11587-024-00870-9","url":null,"abstract":"<p>Let <span>({mathfrak {Nil}})</span> be the class of nilpotent groups and <i>G</i> be a group. We call <i>G</i> a meta-<span>({mathfrak {Nil}})</span>-Hamiltonian group if any of its non-<span>({mathfrak {Nil}})</span> subgroups is normal. Also, we call <i>G</i> a para-<span>({mathfrak {Nil}})</span>-Hamiltonian group if <i>G</i> is a non-<span>({mathfrak {Nil}})</span> group and every non-normal subgroup of <i>G</i> is either a <span>({mathfrak {Nil}})</span>-group or a minimal non-<span>({mathfrak {Nil}})</span> group. In this paper we investigate the class of finitely generated meta-<span>({mathfrak {Nil}})</span>-Hamiltonian and para-<span>({mathfrak {Nil}})</span>-Hamiltonian groups.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141503420","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 extropy properties of record ranked set sampling 论记录排序集抽样的外熵特性
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-05-19 DOI: 10.1007/s11587-024-00869-2
M. Irshad, K. Archana, R. Maya, S. Nadarajah
{"title":"On extropy properties of record ranked set sampling","authors":"M. Irshad, K. Archana, R. Maya, S. Nadarajah","doi":"10.1007/s11587-024-00869-2","DOIUrl":"https://doi.org/10.1007/s11587-024-00869-2","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141124335","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 harmonic index and algebraic connectivity 关于谐波指数和代数连接性
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-05-16 DOI: 10.1007/s11587-024-00868-3
S. M. Sheikholeslami, H. Shooshtari
{"title":"On the harmonic index and algebraic connectivity","authors":"S. M. Sheikholeslami, H. Shooshtari","doi":"10.1007/s11587-024-00868-3","DOIUrl":"https://doi.org/10.1007/s11587-024-00868-3","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140970581","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
Topological properties of convex order in Wasserstein metric spaces 瓦瑟斯坦度量空间中凸序的拓扑特性
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-05-13 DOI: 10.1007/s11587-024-00867-4
Hongbing Ju, Feng Wang, Hongguang Wu
{"title":"Topological properties of convex order in Wasserstein metric spaces","authors":"Hongbing Ju, Feng Wang, Hongguang Wu","doi":"10.1007/s11587-024-00867-4","DOIUrl":"https://doi.org/10.1007/s11587-024-00867-4","url":null,"abstract":"<p>Martingale optimal transportation has gained significant attention in mathematical finance due to its applications in pricing and hedging. A key distinguishing factor between martingale optimal transportation and traditional optimal transportation is the concept of a peacock, which refers to a sequence of measures satisfying the convex order property. In the realm of traditional optimal transportation, the Wasserstein geometry, induced by a transportation problem with the <i>p</i>-th power of distance as the cost, provides valuable geometric insights. This motivates us to investigate the differences between Wasserstein geometries with and without the martingale constraint. As a first step, this paper focuses on studying the topological properties of convex order, with the aim of establishing a foundational understanding for further exploration of the geometric properties of martingale Wasserstein geometry.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140930389","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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