Groups with the basis property

Jonathan M. McDougall-Bagnall, Martyn Quick

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
3 Downloads (Pure)

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 languageEnglish
Pages (from-to)332-339
Number of pages8
JournalJournal of Algebra
Volume346
Issue number1
Early online date23 Sept 2011
DOIs
Publication statusPublished - 15 Nov 2011

Keywords

  • Generating sets
  • Finite groups
  • Basis property

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