发布求助
文献互助 智能选刊 最新文献

International Journal of Group Theory最新文献

筛选
英文 中文
Faithful Real Representations of Groups of $F$-type $F$型群的忠实实表示
IF 0.2
International Journal of Group Theory Pub Date : 2019-07-10 DOI: 10.22108/IJGT.2018.112439.1494
B. Fine, A. Moldenhauer, Gerhard Rosneberger
{"title":"Faithful Real Representations of Groups of $F$-type","authors":"B. Fine, A. Moldenhauer, Gerhard Rosneberger","doi":"10.22108/IJGT.2018.112439.1494","DOIUrl":"https://doi.org/10.22108/IJGT.2018.112439.1494","url":null,"abstract":"Groups of F -type were introduced in [B. Fine and G. Rosenberger, Generalizing Algebraic Properties of Fuchsian Groups, London Math. Soc. Lecture Note Ser., 159 (1991) 124–147.] as a natural algebraic generalization of Fuchsian groups. They can be considered as the analogs of cyclically pinched one-relator groups where torsion is allowed. Using the methods In [B. Fine. M. Kreuzer and G. Rosenberger, Faithful Real Representations of Cyclically Pinched One-Relator Groups, Int. J. Group Theory, 3 (2014) 1–8.] we prove that any hyperbolic group of F -type has a faithful representation in PSL(2,R). From this we also obtain that a cyclically pinched one-relator group has a faithful real representation if and only if it is hyperbolic. We further survey the many nice properties of groups of F -type.","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44441794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Recognition of Janko groups and some simple $K_4$-groups by the order and one irreducible character degree or character degree graph 用序和一个不可约的字符度或字符度图识别Janko群和一些简单的$K_4$-群
IF 0.2
International Journal of Group Theory Pub Date : 2019-06-18 DOI: 10.22108/IJGT.2019.113029.1502
Hoshang Behravesh, M. Ghaffarzadeh, M. Ghasemi, Somayeh Hekmatara
{"title":"Recognition of Janko groups and some simple $K_4$-groups by the order and one irreducible character degree or character degree graph","authors":"Hoshang Behravesh, M. Ghaffarzadeh, M. Ghasemi, Somayeh Hekmatara","doi":"10.22108/IJGT.2019.113029.1502","DOIUrl":"https://doi.org/10.22108/IJGT.2019.113029.1502","url":null,"abstract":"In this paper we prove that some Janko groups are uniquely determined by their orders and one irreducible character degree. Also we prove that some finite simple K4-groups are uniquely determined by their character degree graphs and their orders.","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48898314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On free subgroups of finite exponent in circle groups of free nilpotent algebras 关于自由幂零代数圆群中有限指数的自由子群
IF 0.2
International Journal of Group Theory Pub Date : 2019-06-01 DOI: 10.22108/IJGT.2017.108014.1455
Juliane Hansmann
{"title":"On free subgroups of finite exponent in circle groups of free nilpotent algebras","authors":"Juliane Hansmann","doi":"10.22108/IJGT.2017.108014.1455","DOIUrl":"https://doi.org/10.22108/IJGT.2017.108014.1455","url":null,"abstract":"‎Let $K$ be a commutative ring with identity and $N$ the free nilpotent $K$-algebra on a non-empty set $X$‎. ‎Then $N$ is a group with respect to the circle composition‎. ‎We prove that the subgroup generated by $X$ is relatively free in a suitable class of groups‎, ‎depending on the choice of $K$‎. ‎Moreover‎, ‎we get unique representations of the elements in terms of basic commutators‎. ‎In particular‎, ‎if $K$ is of characteristic $0$ the subgroup generated by $X$ is freely generated by $X$ as a nilpotent group‎.","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43468139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Recognition of the simple groups $PSL_2(q)$ by character degree graph and order 简单群$PSL_2(q)$的字符度图和阶识别
IF 0.2
International Journal of Group Theory Pub Date : 2019-06-01 DOI: 10.22108/IJGT.2017.103226.1424
Z. Akhlaghi, M. Khatami, B. Khosravi
{"title":"Recognition of the simple groups $PSL_2(q)$ by character degree graph and order","authors":"Z. Akhlaghi, M. Khatami, B. Khosravi","doi":"10.22108/IJGT.2017.103226.1424","DOIUrl":"https://doi.org/10.22108/IJGT.2017.103226.1424","url":null,"abstract":"Let (G) be a finite group. The character degree graph of (G), which is denoted by (Gamma (G)), is the graph whose vertices are the prime divisors of the character degrees of the group (G) and two vertices (p_1) and (p_2) are joined by an edge if (p_1p_2) divides some character degree of (G). In this paper we prove that the simple group (mathrm{PSL}(2,p^2) ) is uniquely determined by its character degree graph and its order. Let (X_1(G)) be the set of all irreducible complex character degrees of (G) counting multiplicities. As a consequence of our results we prove that if (G) is a finite group such that (X_1(G)=X_1(mathrm{PSL}(2,p^2) )), then (Gcong mathrm{PSL}(2,p^2) ). This implies that (mathrm{PSL}(2,p^2) ) is uniquely determined by the structure of its complex group algebra.","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48762173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Open normal subgroups in normally constrained pro-p groups 正约束pro-p群中的开正规子群
IF 0.2
International Journal of Group Theory Pub Date : 2019-05-02 DOI: 10.22108/IJGT.2019.115382.1532
Leire Legarreta, N. Gavioli, C. M. Scoppola, Marco Ruscitti
{"title":"Open normal subgroups in normally constrained pro-p groups","authors":"Leire Legarreta, N. Gavioli, C. M. Scoppola, Marco Ruscitti","doi":"10.22108/IJGT.2019.115382.1532","DOIUrl":"https://doi.org/10.22108/IJGT.2019.115382.1532","url":null,"abstract":"In this paper we analyse properties satisfied by certain open normal subgroups in normally constrained pro-‎$‎p‎$ groups and in a spread version of normally constrained pro-‎$‎p‎$‎ groups‎. ‎In the case of powerful normally constrained pro-‎$‎p‎$ groups‎, ‎we exhibit some kind of inheritance properties in certain open normal subgroups‎.","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42228951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weakly totally permutable products and Fitting classes 弱全可变产品和Fitting类
IF 0.2
International Journal of Group Theory Pub Date : 2019-04-13 DOI: 10.22108/IJGT.2019.115685.1535
S. Y. Madanha
{"title":"Weakly totally permutable products and Fitting classes","authors":"S. Y. Madanha","doi":"10.22108/IJGT.2019.115685.1535","DOIUrl":"https://doi.org/10.22108/IJGT.2019.115685.1535","url":null,"abstract":"","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45817174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Catalan fragile words 加泰罗尼亚语易碎词
IF 0.2
International Journal of Group Theory Pub Date : 2019-03-07 DOI: 10.22108/IJGT.2019.113180.1506
D. D’Angeli, E. Rodaro, A. Donno
{"title":"Catalan fragile words","authors":"D. D’Angeli, E. Rodaro, A. Donno","doi":"10.22108/IJGT.2019.113180.1506","DOIUrl":"https://doi.org/10.22108/IJGT.2019.113180.1506","url":null,"abstract":"‎Fragile words have been already considered in the context of automata groups‎. ‎Here we focus our attention on a special class of strongly fragile words that we call Catalan fragile words‎. ‎Among other properties‎, ‎we show that there exists a one-to-one correspondence between the set of Catalan fragile words and the set of full binary trees‎.","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46484509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A survey on groups with some restrictions on normalizers or centralizers 关于对正化器或正化器有限制的群的调查
IF 0.2
International Journal of Group Theory Pub Date : 2019-03-07 DOI: 10.22108/IJGT.2019.115244.1529
Leire Legarreta, M. Tota
{"title":"A survey on groups with some restrictions on normalizers or centralizers","authors":"Leire Legarreta, M. Tota","doi":"10.22108/IJGT.2019.115244.1529","DOIUrl":"https://doi.org/10.22108/IJGT.2019.115244.1529","url":null,"abstract":"We consider conditions on normalizers or centralizers in a group and we collect results showing how such conditions influence the structure of the group.","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47735519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SOME PROBLEMS ABOUT PRODUCTS OF CONJUGACY CLASSES IN FINITE GROUPS 有限群中共轭类积的几个问题
IF 0.2
International Journal of Group Theory Pub Date : 2019-03-07 DOI: 10.22108/IJGT.2019.111448.1480
A. Beltrán, M. J. Felipe, C. Melchor
{"title":"SOME PROBLEMS ABOUT PRODUCTS OF CONJUGACY CLASSES IN FINITE GROUPS","authors":"A. Beltrán, M. J. Felipe, C. Melchor","doi":"10.22108/IJGT.2019.111448.1480","DOIUrl":"https://doi.org/10.22108/IJGT.2019.111448.1480","url":null,"abstract":"‎We summarize several results about non-simplicity‎, ‎solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes‎. ‎We also collect some problems that have only been partially solved‎.","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45042054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On the ranks of Fischer group $Fi_{24}^{,prime}$ and the Baby Monster group $mathbb{B}$ 关于Fischer群$Fi_{24}^{，prime}$和Baby Monster群$mathb{B}的秩$
IF 0.2
International Journal of Group Theory Pub Date : 2019-03-01 DOI: 10.22108/IJGT.2018.109973.1471
M. Ibrahim, Faryad Ali, M. Al-Kadhi, A. Aljouiee
{"title":"On the ranks of Fischer group $Fi_{24}^{,prime}$ and the Baby Monster group $mathbb{B}$","authors":"M. Ibrahim, Faryad Ali, M. Al-Kadhi, A. Aljouiee","doi":"10.22108/IJGT.2018.109973.1471","DOIUrl":"https://doi.org/10.22108/IJGT.2018.109973.1471","url":null,"abstract":"","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44338097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信