University of Birmingham > Talks@bham > Algebra Seminar  > Generation versus invariable generation

Generation versus invariable generation

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  • UserDaniele Garzoni (Tel Aviv University)
  • ClockWednesday 23 February 2022, 15:30-16:30
  • HouseZoom.

If you have a question about this talk, please contact Gareth Tracey.

I will first define the concept of invariable generation of finite groups, and give some motivation. There are some striking differences with respect to the usual generation. We will experience this by taking some known results for the usual generation, and seeing what happens in the invariable setting. We will discuss minimal generating sets, generating graphs, random generation, and we will see some open questions. We will mainly consider groups at the extremes: soluble groups, at one end; nonabelian simple groups, at the other end.

This talk is part of the Algebra Seminar series.

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