On cohomologies and representations of groups with normal Engel subgroups

Kissin, Edward and Shulman, Victor (2022) On cohomologies and representations of groups with normal Engel subgroups. Eurasian mathematical journal, 13 (2). pp. 70-81. ISSN 2077-9879

Abstract

Let lambda and U be representations of a group G with a normal Engel subgroup N. The paper studies triviality conditions for the cohomology group H1(G; lambda;U) when lambda and U are sectionally spectrally disjoint and examines some decompositions of the extension e(lambda; U; ksi) of lambda by U associated with non-trivial (lambda; U)-cocycles ksi.

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