Thursday 02 May 2013Generation and random generation of simple groups and their subgroups

Tim Burness - Southampton

Amory 128 15:00-16:00

It is well known that every finite simple group can be generated
by two elements. In recent years, many related generation properties have
been studied, using detailed information on the subgroup structure of
simple groups. I will briefly recall some of the main results in this
area, and I will report on recent joint work with Martin Liebeck
(Imperial) and Aner Shalev (Jerusalem) on the generation of maximal
subgroups of simple groups. Applications to second maximal subgroups and
primitive permutation groups will be briefly discussed.

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