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Groups Complexity Cryptology

Managing Editor: Shpilrain, Vladimir / Weil, Pascal

Editorial Board: Ciobanu, Laura / Conder, Marston / Eick, Bettina / Elder, Murray / Fine, Benjamin / Gilman, Robert / Grigoriev, Dima / Ko, Ki Hyoung / Kreuzer, Martin / Mikhalev, Alexander V. / Myasnikov, Alexei / Perret, Ludovic / Roman'kov, Vitalii / Rosenberger, Gerhard / Sapir, Mark / Thomas, Rick / Tsaban, Boaz / Capell, Enric Ventura / Lohrey, Markus

CiteScore 2018: 0.80

SCImago Journal Rank (SJR) 2018: 0.368
Source Normalized Impact per Paper (SNIP) 2018: 1.061

Mathematical Citation Quotient (MCQ) 2018: 0.38

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Group extensions with special properties

Andreas Distler / Bettina Eick
Published Online: 2015-04-14 | DOI: https://doi.org/10.1515/gcc-2015-0005


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.

Keywords: Cohomology; group extension; lower central series; derived series; Schur multiplier

MSC: 20J06; 20E22

About the article

Received: 2014-04-14

Revised: 2014-06-10

Published Online: 2015-04-14

Published in Print: 2015-05-01

Citation Information: Groups Complexity Cryptology, Volume 7, Issue 1, Pages 1–10, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: https://doi.org/10.1515/gcc-2015-0005.

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