University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Automorphism orbits of groups and the Monster

Automorphism orbits of groups and the Monster

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact INI IT.

GRA - Groups, representations and applications: new perspectives

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.




This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity