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.
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页码：70 / 81
页数：12
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