Groups with the basis property

Jonathan M. McDougall-Bagnall; Martyn Quick

doi:10.1016/j.jalgebra.2011.08.030

Groups with the basis property

Jonathan M. McDougall-Bagnall, Martyn Quick

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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.

Original language	English
Pages (from-to)	332-339
Number of pages	8
Journal	Journal of Algebra
Volume	346
Issue number	1
Early online date	23 Sept 2011
DOIs	https://doi.org/10.1016/j.jalgebra.2011.08.030
Publication status	Published - 15 Nov 2011

Keywords

Generating sets
Finite groups
Basis property

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10.1016/j.jalgebra.2011.08.030

Groups with the basis property
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
Accepted author manuscript, 269 KB

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Groups with the basis property

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