Description
Date and Time: Monday 28 September, 11.30 am - 12.30 pm
Google Meet link: meet.google.com/ahu-peka-sto
Speaker: Oorna Mitra, IMSc
Title: Twisted Conjugacy in Linear Groups over Polynomial and Laurent
Polynomial Algebras over Finite Fields
Abstract: Given an automorphism \phi : G \to G, one has the \phi-twisted
conjugacy action of G on itself, given by g.x = g x\phi(g^{-1}). The
orbits of this action are called the \phi-twisted conjugacy classes. In
this talk, we will talk about twisted conjugacy in general and special
linear groups over F[t] and F[t, t^{-1}] where F is any subfield of the
algebraic closure of \mathbb{F}_p. This is joint work with P. Sankaran.
Some new results by Shripad Garge and myself regarding twisted conjugacy
in other classical groups over \mathbb{F}_q[t] and \mathbb{F}_q[t,t^{-1}]
will also be mentioned.