Nonabelian 1-cohomologies and conjugacy of finite subgroups in some extensions.
type: Item
instance of: scholarly article
title: Nonabelian 1-cohomologies and conjugacy of finite subgroups in some extensions.
zbMATH Open document ID: 1315.20047
DOI: 10.1134/S0037446612050187
author: M. A. Shevelin
published in: Siberian Mathematical Journal
publication date: 2013-01-31T00:00:00Z
review text: In this article the author continues and generalizes the results of his paper [Sib. Math. J. 52, No. 3, 544-553 (2011); translation from Sib. Mat. Zh. 52, No. 3, 690-700 (2011; Zbl 1273.17007)]. He describes the conjugacy classes of finite subgroups in certain split extensions using the notion of 1-cocycle and 1-coboundary with values in a non commutative group. He shows that every finite subgroup of the automorphism group of a free Lie algebra of rank 3 is a conjugate of a subgroup of the linear automorphism group provided that the group order does not divide the characteristic of the ground field.
reviewed by: Olympia Talelli
Mathematics Subject Classification ID: 20J05
Mathematics Subject Classification ID: 17B01
Mathematics Subject Classification ID: 17B40
zbMATH DE Number: 6133187
zbMATH Keywords: 1-cocycles
zbMATH Keywords: free Lie algebras
zbMATH Keywords: automorphism groups
zbMATH Keywords: conjugacy classes of finite subgroups
zbMATH Keywords: split extensions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6133187