Paweł Piwek

activity

20192024

collaborators

Showing math.GRShow all

3 papers · 1 filter

math.GR2024

Profinite rigidity for free-by-cyclic groups with centre

Martin R. Bridson, Paweł Piwek

A free-by-cyclic group $F_{N} ⋊_{ϕ} Z$ has non-trivial centre if and only if $[ϕ]$ has finite order in $Out (F_{N})$ . We establish a profinite ridigity result for such…

math.GR2019

Investigating transversals as generating sets for groups

Maurice Chiodo, Robert Crumplin, Oscar Donlan +1

In [3] is was shown that for any group $G$ whose rank (i.e., minimal number of generators) is at most 3, and any finite index subgroup $H \leq G$ with index $[G : H] \geq r ank (G)$ , one…

math.GR2019

Distinguishing crystallographic groups by their finite quotients

Paweł Piwek, David Popović, Gareth Wilkes

Using the computer algebra program GAP, we show that all crystallographic groups in dimensions at most 4 are distinguished from each other by their sets of finite quotients.