SEMINAR: Groups and Combinatorics Seminar: Symmetric p-groups
Alice Niemeyer (UWA)
will speak on
at 11am in Weatherburn LT
(The time will be finalised on Wed evening. There may be the need for a change of time to 1:30pm.)
Abstract: In 1978 R.M. Bryant and L.G. Kov acs showed that for every subgroup
H of GL(d,p) for a prime p there is a finite p-group P
such that the automorphism group of P induces a subgroup on
the Frattini quotient P/ hi(P) which is isomorphic to H.
Their proof demonstrates the existence of such a p-group by considering
sufficiently large quotients to terms of the exponent-p lower central
series of the free group F on d generators.
In joint work with J. Bamberg, S. Glasby and L. Morgan we consider
maximal subgroups of GL(d,p) for odd primes p and d at least 4
and show that in many cases we only need to consider the exponent-p
lower central series of F of class 3 to find such a p-group.
Weatherburn Lecture Theatre
Thu, 18 Dec 2014 11:00
Thu, 18 Dec 2014 16:00
Michael Giudici <[email protected]>
Wed, 17 Dec 2014 09:10
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