Units of group rings and a conjecture of H. J. Zassenhaus

被引:3
作者
Polcino Milies, C. [1 ]
机构
[1] Univ Sao Paulo, Inst Matemat & Estat, Caixa Postal 66-281, BR-05314970 Sao Paulo, Brazil
来源
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2022年 / 16卷 / 01期
基金
巴西圣保罗研究基金会;
关键词
Group ring; Unit group; Torsion unit; Zassenhaus conjectures; INTEGRAL GROUP-RINGS; TORSION UNITS; FREE SUBGROUPS; ISOMORPHISM-PROBLEM; NILPOTENT; FORM; COUNTEREXAMPLE;
D O I
10.1007/s40863-021-00267-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We survey some important problems on group rings, including the isomorphism problem, group theoretical properties of units and the Zassenhaus conjectures. We also include a historical introduction to the subject.
引用
收藏
页码:43 / 61
页数:19
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