General Exam Talk: Dehn Functions of Coabelian Subgroups (Algebraic Square Method)

event Wednesday, April 26, 2023
access_time 4:00pm (CDT)
room PHSC 1105
free_breakfast Tea at 3:30pm (CDT) in PHSC 424

Abstract: The study of Dehn functions has developed into a major area of research in geometric group theory mainly because the growth types of these functions are quasi-isometry invariants of finitely presented groups. The Dehn function of a finitely presented group G is also connected to the complexity of solving the word problem in G namely, a finitely presented group has solvable word problem if and only if the Dehn function for a finite presentation is recursive. In this talk, we will discuss methods for computing the precise Dehn functions of coabelian subgroups of direct products of groups, that is, subgroups which arise as kernels of homomorphisms from the direct product onto a free abelian group and provide applications of the methods to subgroups of direct products of free groups. 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 Pratit Goswami.