TWISTED GROUP RING ISOMORPHISM PROBLEM

被引：7

作者：

Margolis, Leo ^{[1
]}

Schnabel, Ofir ^{[2
]}

机构：

[1] Univ Murcia, Fac Matemat, Dept Matemat, E-30100 Murcia, Spain

[2] Univ Stuttgart, Inst Algebra & Number Theory, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2018年 / 69卷 / 04期

基金：

欧盟地平线“2020”;

关键词：

GROUP-ALGEBRAS;

D O I：

10.1093/qmath/hay020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose and study a variation of the classical isomorphism problem for group rings in the context of projective representations. We formulate several weaker conditions following from our notion and give all logical connections between these condition by studying concrete examples. We introduce methods to study the problem and provide results for various classes of groups, including abelian groups, groups of central type, p-groups of order p(4) and groups of order p(2)q(2), where p and q denote different primes.

引用

页码：1195 / 1219

页数：25