ON COHOMOLOGIES AND REPRESENTATIONS OF GROUPS WITH NORMAL ENGEL SUBGROUPS

被引：1

作者：

Kissin, E. ^{[1
]}

Shulman, V ^{[2
]}

机构：

[1] London Metropolitan Univ, STORM, Sch Comp & Digital Media, 166-220 Holloway Rd, London N7 8DB, England

[2] Vologda State Tech Univ, Dept Math, 15 Lenina St, Vologda 160000, Russia

来源：

EURASIAN MATHEMATICAL JOURNAL | 2022年 / 13卷 / 02期

关键词：

group; Engel group; cohomology; representation; spectrally disjoint; cocycle;

D O I：

10.32523/2077-9879-2022-13-2-70-81

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let lambda,U be representations of a group G with a normal Engel subgroup N. The paper studies triviality conditions for the cohomology group H-1(G,lambda,U) when lambda and U are sectionally spectrally disjoint and examines some decompositions of the extension e(lambda,U,xi) of lambda by U associated with non-trivial (lambda,U)cocycles xi.

引用

页码：70 / 81

页数：12

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