General Exam Talk: Dehn functions of coabelian subgroups (algebraic triangle method)

event Wednesday, April 19, 2023
access_time 4:00pm (CDT)
room PHSC 1105
free_breakfast Tea at 3:30pm (CDT) in PHSC 424

Abstract: The study of the word problem for finitely presented groups led to the definition of a "Dehn function," which has itself become a subject of independent study. One fundamental class of groups whose Dehn functions were intently studied for decades is that of the Stallings-Bieri groups; these were eventually proven to all have quadratic Dehn functions. In this talk, we will generalize this result to show that any coabelian subgroup of a direct product of groups, each of whose Dehn functions is at most quadratic (which encompasses the Stallings-Bieri groups), itself has a quadratic Dehn function. This talk is based on Kropholler and Llosa Isenrich's paper "Dehn functions of coabelian subgroups of direct products of groups".

For more information on this event, please contact Rob Merrell.