Groups and Dynamics Seminar

Date: June 10, 2020

Time: 12:00PM - 1:00PM

Location: 940 9667 3668

Speaker: Mark Sapir, Vanderbilt U.

Title: Groups with quadratic Dehn function and undecidable conjugacy problem

Abstract: This is a joint work with A. Yu. Olshanskii. We construct a finitely presented group with quadratic Dehn function and undecidable conjugacy problem. This solves a problem of E. Rips. We also prove that our group has decidable power conjugacy problem. So it is the first example of a group with decidable word and power conjugacy problems and undecidable conjugacy problem.