Groups with the basis property
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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.
McDougall-Bagnall , J M & Quick , M 2011 , ' Groups with the basis property ' Journal of Algebra , vol 346 , no. 1 , pp. 332-339 . , 10.1016/j.jalgebra.2011.08.030
Journal of Algebra
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
"The ﬁrst author is supported by an EPSRC Doctoral Training Grant"
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