Robert P. Kropholler

activity

20152025

most citedProfinite properties of RAAGs and special groups

9 citations · 40 across the 22 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.GT2021

Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group

Robert Kropholler, Stefano Vidussi, Genevieve Walsh

We show that a conjecture of Putman--Wieland, which posits the nonexistence of finite orbits for higher Prym representations of the mapping class group, is equivalent to the existe…

math.GR2021

Dehn functions of coabelian subgroups of direct products of groups

Robert Kropholler, Claudio Llosa Isenrich

We develop new 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…

math.GR2021

Constructing groups of type $F P_{2}$ over fields but not over the integers

Robert Kropholler

We construct examples of groups that are $F P_{2} (Q)$ and $F P_{2} (Z / p Z)$ for all primes $p$ but not of type $F P_{2} (Z)$ .

Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group

Dehn functions of coabelian subgroups of direct products of groups

Constructing groups of type FP2​ over fields but not over the integers

Constructing groups of type $F P_{2}$ over fields but not over the integers