Star group identities on units of group algebras

被引：0
作者：
Milies, C. Polcino [1 ,2 ]
机构：
[1] Univ Sao Paulo, BR-05508 Sao Paulo, Brazil
[2] Univ Fed ABC, Santo Andre, Brazil
来源：
GROUPS, RINGS, GROUP RINGS, AND HOPF ALGEBRAS | 2017年 / 688卷
基金：
巴西圣保罗研究基金会;
关键词：
Group algebra; involution; unit; group identity; INTEGRAL GROUP-RINGS; SYMMETRIC ELEMENTS; FREE SUBGROUPS; LOOP RINGS; INVOLUTIONS; NILPOTENT;
D O I：
10.1090/conm/688/13837
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We survey properties of the unit group of group algebras when considered as algebras endowed with an involution. In particular, we focus on properties of the set of symmetric units and study conditions for the whole unit group to satisfy a *-group identity.
引用
收藏
页码：249 / 258
页数：10
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