Date
Wed, 15 May 2019
16:00
Location
C1
Speaker
Michal Buran
Organisation
Cambridge University


It is often fruitful to study an infinite discrete group via its finite quotients.  For this reason, conditions that guarantee many finite quotients can be useful.  One such notion is residual finiteness.
A group is residually finite if for any non-identity element g there is a homomorphism onto a finite group, which doesn’t map g to e. I will mention how this relates to topology, present an argument why the surface groups are residually finite and I’ll show that in this case it is enough to consider homomorphisms onto alternating groups.

Please contact us with feedback and comments about this page. Last updated on 04 Apr 2022 15:24.