Independent generating sets and geometries for symmetric groups

Peter J. Cameron*, Philippe Cara

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

Julius Whiston showed that the size of an independent generating set in the symmetric group Sn is at most n - 1. We determine all sets meeting this bound. We also give some general remarks on the maximum size of an independent generating set of a group and its relationship to coset geometries for the group. In particular, we determine all coset geometries of maximum rank for the symmetric group Sn for n > 6.

Original languageEnglish
Pages (from-to)641-650
Number of pages10
JournalJournal of Algebra
Volume258
Issue number2
DOIs
Publication statusPublished - 15 Dec 2002

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