University of Birmingham > Talks@bham > Algebra seminar  > Group Generation

Group Generation

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  • UserVeronica Kelsey (Manchester)
  • ClockThursday 09 November 2023, 15:00-16:00
  • HouseLG06 Old Gym.

If you have a question about this talk, please contact Chris Parker.

This talk will be a very gentle stroll through some results on generating groups. A group G is 2-generated if there exist elements x and y in G such that <x,y>=G. In 1962 Steinberg proved that the finite simple groups known at the time were 2-generated. In fact all finite simple groups are 2-generated. We consider what conditions we can impose on the elements x and y such that they still generate G, for example insisting y lies in a certain conjugacy class or subgroup.

This talk is part of the Algebra seminar series.

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