Group extensions with special properties

2014/04/16 by Andreas Distler, Bettina Eick, Distler, Andreas +1
Mathematics · #20J06 (Primary) 20E22 (Secondary) #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20E22 #msc:20J06

paper · pdf · doi:10.48550/arxiv.1404.4218

13 pages, 2 figures

arxiv created 2014/04/16 · arxiv updated 2014/04/17

Abstract

Given a group G and a G-module A, we show how to determine up to isomorphism the extensions E of A by G so that A embeds as smallest non-trivial term of the derived series or of the lower central series into E.

Related

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• Determining class groups as Galois modules up to equivalence for some nonabelian extensions
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• Group Extensions of the Co-type of a Crossed Module and Strict Categorical Groups
• Extensions of Finite Abelian Groups