Paweł Piwek

activity

20192024

most citedProfinite rigidity for free-by-cyclic groups with centre

1 citations · 3 across the 6 of their papers we have counts for

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math.GR2024★ 1 cited

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.GR2024★ 1 cited

Solvable and non-solvable finite groups of the same order type

Paweł Piwek

We construct two finite groups of size $2^{365} \cdot 3^{105} \cdot 7^{104}$ : a solvable group $G$ and a non-solvable group $H$ , such that for every integer $n$ the groups have the s…