skip to content

Automorphism orbits of groups and the Monster

Presented by: 
Michael Giudici
Thursday 23rd January 2020 - 16:00 to 17:00
INI Seminar Room 2
The order of an element of a group is a natural invariant of an automorphism.  In 1992, Zhang classified all finite groups such that for all integers $k$ the  automorphism group acts transitively on the set of all elements of order $k$. Such groups are called AT-groups. In this talk, I will discuss recent joint work with Alexander Bors and Cheryl Praeger that investigates two measures of how close a group is to being an AT-group. This includes a new interesting characterisation of the Monster simple group.

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons