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Title: Groups with the basis property
Authors: McDougall-Bagnall, Jonathan M.
Quick, Martyn
Keywords: Generating sets
Finite groups
Basis property
QA Mathematics
Issue Date: 15-Nov-2011
Citation: McDougall-Bagnall , J M & Quick , M 2011 , ' Groups with the basis property ' Journal of Algebra , vol 346 , no. 1 , pp. 332-339 .
Abstract: We study finite groups for which every minimal generating set has the same cardinality. A group has the basis property if it and every subgroup satisfies this condition on minimal generating sets. We classify all finite groups with the basis property.
Version: Postprint
Description: "The first author is supported by an EPSRC Doctoral Training Grant"
Status: Peer reviewed
URI: http://hdl.handle.net/10023/2044
DOI: http://dx.doi.org/10.1016/j.jalgebra.2011.08.030
ISSN: 0021-8693
Type: Journal article
Rights: This is the author's version of an article published in Journal of Algebra. The published version (c) Elsevier is available from http://www.sciencedirect.com
Appears in Collections:Centre for Interdisciplinary Research in Computational Algebra (CIRCA) Research
University of St Andrews Research
Mathematics & Statistics Research



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