On cohomologies and representations of groups with normal Engel subgroups

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On cohomologies and representations of groups with normal Engel subgroups

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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

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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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