7th meeting: Finite Groups

University of Manchester, Wednesday March 9th, 2016

All talks will be held in room G108 of the the Alan Turing building. The talks will be followed by “the usual pilgramage to the pub and curry place.”

1:30-2:20 Peter Rowley (Manchester) An algorithm for the Thompson subgroup of a p-group

2:30-3:20 Madeleine Whybrow (Imperial) Majorana Representations of Triangle-Point Groups

Majorana Theory was introduced by A.A. Ivanov in 2009 as the axiomatisation of certain properties of the 2A-axial vectors of the 196,884-dimensional Monster Algebra. Ivanov’s work was inspired by a result of S. Sakuma which reproved certain important properties of the Monster Algebra in the context of Vertex Operator Algebras. Majorana Theory takes the key hypotheses of Sakuma’s result to provide a powerful framework, independent of Vertex Operator Algebras, in which to study the Monster Algebra and other related objects.


In this talk, I will discuss the history and motivation behind Majorana Theory before presenting my own work on Majorana Representations of Triangle-Point Groups. These are 6-transposition groups which are generated by 3 involutions, two of whom commute. They play an important role in the proof of the uniqueness of the Monster Group and in the study of the Monster Graph.

3:30-4:00 Break

4:00-4:50 Gernot Stroth (Halle) Groups which are almost groups of Lie type in characteristic p