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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 |
| 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: | University of St Andrews Research
Mathematics & Statistics Research
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