Group algebras whose groups of normalized units have exponent 4

被引:0
作者
Victor Bovdi
Mohammed Salim
机构
[1] United Arab Emirates University,Department of Mathematical Sciences
来源
Czechoslovak Mathematical Journal | 2018年 / 68卷
关键词
group of exponent 4; unit group; modular group algebra; 16S34; 16U60;
D O I
暂无
中图分类号
学科分类号
摘要
We give a full description of locally finite 2-groups G such that the normalized group of units of the group algebra FG over a field F of characteristic 2 has exponent 4.
引用
收藏
页码:141 / 148
页数:7
相关论文
共 15 条
[1]  
Bovdi A.(1998)The group of units of a group algebra of characteristic Publ. Math. 52 193-244
[2]  
Bovdi V.(2009)Group algebras whose group of units is powerful J. Aust. Math. Soc. 87 325-328
[3]  
Bovdi V.(2002)Group algebras whose involutory units commute Algebra Colloq. 9 49-64
[4]  
Dokuchaev M.(1993)On the exponent of the group of normalized units of modular group algebras Publ. Math. 42 409-415
[5]  
Bovdi A.(1985)Finite J. Algebra 97 1-13
[6]  
Lakatos P.(2007)-groups of exponent J. Algebra 315 801-808
[7]  
Caranti A.(2009) in which each element commutes with its endomorphic images J. Algebra 321 2890-2897
[8]  
Janko Z.(2014)On finite nonabelian 2-groups all of whose minimal nonabelian subgroups are of exponent 4 J. Algebra 416 274-286
[9]  
Janko Z.(1999)Finite nonabelian 2-groups all of whose minimal nonabelian subgroups are metacyclic and have exponent 4 J. Lond. Math. Soc., II. Ser. 60 747-756
[10]  
Janko Z.(1990)Finite J. Algebra 129 412-438