Generating a group by coset representatives

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• Peter Cameron (QMW)
• Wednesday 13 October 2010, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Jan Saxl.

Vivek Jain asked whether, given a group G and a core-free subgroup H, it is always possible to find a transversal for H in G which generates G. The answer is affirmative, using a theorem of Julius Whiston on independent sets in the symmetric group.

I will discuss the proof and some slight extensions, and will also talk abouta parameter of a group conjecturally related to the maximum size of an independent set; this involves an open question about the subgroup lattices of finite groups.

This talk is part of the Algebra and Representation Theory Seminar series.

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