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University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Generating a group by coset representatives

## Generating a group by coset representativesAdd to your list(s) Download to your calendar using vCal - 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. ## This talk is included in these lists:- Algebra and Representation Theory Seminar
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