large centralizers in finite groups.

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

• Geoff Robinson Lancaster
• Wednesday 05 December 2018, 16:00-17:00
• Watson Building, Lecture Room A.

If you have a question about this talk, please contact Chris Parker.

We discuss recent joint work with Bob Guralnick, partly inspired by the famous Brauer-Fowler paper of 1956. We prove a number of results ( some using the classification of finite simple groups (CFSG), some not) which bound the index of the Fitting subgroup of a finite group G in terms of centralizers of certain elements of G, especially involutions. We also provide a CFSG -free bound on the maximum dimension of the fixed-point space of an involution in a finite linear group.

This talk is part of the Algebra Seminar series.

This talk is included in these lists:

• Algebra Seminar
• School of Mathematics Events
• Watson Building, Lecture Room A

Note that ex-directory lists are not shown.