Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, February 22, 2021 - 12:00 to 13:00

Location:

Zoom. Please contact Christine Escher for a link

Guest Speaker:

Ihechukwu Chinyere

Institution:

University of Essex

Abstract:

Cyclically presented groups are a class of finitely presented groups with a balanced presentation that is equipped with cyclic symmetry. An example of such groups is the generalized Fibonacci group H(r,n,s). A conjecture of Williams states that "if H(r,n,s) is perfect then either r or s is congruent to zero modulo n". In my talk, I will describe a proof of this conjecture, give a topological application, and mention a more general result.

Host: