Groups with the basis property

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Date
15/11/2011
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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.
Citation
McDougall-Bagnall , J M & Quick , M 2011 , ' Groups with the basis property ' Journal of Algebra , vol 346 , no. 1 , pp. 332-339 . DOI: 10.1016/j.jalgebra.2011.08.030
Publication
Journal of Algebra
Status
Peer reviewed
DOI
https://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
Description
"The first author is supported by an EPSRC Doctoral Training Grant"
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URI
http://hdl.handle.net/10023/2044

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