John S. Wilson

activity

20002026

most citedResidual nilpotence and ordering in one-relator groups and knot groups

17 citations · 19 across the 7 of their papers we have counts for

collaborators

12 papers

math.GR2026

Uncountably many local isomorphism types of compactly generated simple groups

Ilaria Castellano, Jorge Fariña-Asategui, Mikel Eguzki Garciarena +7

A major open question in the theory of locally compact groups is the following. Let $S$ be the class of non-discrete compactly generated totally disconnected locally comp…

math.GR2022

Profinite groups with few conjugacy classes of elements of infinite order

John S. Wilson

It is proved that every finitely generated profinite group with fewer than $2^{ℵ_{0}}$ conjugacy classes of elements of infinite order is finite

math.GR2022

Profinite groups with few conjugacy classes of $p$ -elements

John S. Wilson

It is proved that a profinite group $G$ has fewer than $2^{ℵ_{0}}$ conjugacy classes of $p$ -elements for an odd prime $p$ if and only if its $p$ -Sylow subgroups are finite. (Her…

math.GR2020

The soluble radical and orbits of certain maps on finite groups

David Popović, John S. Wilson

For each element $u$ in a finite group $G$ define a map $θ_{u} : G \to G$ by $θ_{u} (g) = [g^{- u}, g]$ and set $Θ_{G} (u) = {g \in G ∣ θ_{u}^{n} (g) = g for some n > 0}$ . Then $θ_{u}$ induc…

math.GR2019★ 2 cited

First-order recognisability in finite and pseudofinite groups

Yves Cornulier, John S. Wilson

It is known that there exists a first-order sentence that holds in a finite group if and only if the group is soluble. Here it is shown that the corresponding statements with 'solu…

math.GR2017

Recognizing the real line

A. M. W. Glass, John S. Wilson

Let $(Ω, \leq)$ be a totally ordered set. We prove that if Aut $(Ω, \leq)$ is transitive and satisfies the same first-order sentences as the automorphism group of the real line (in t…

Uncountably many local isomorphism types of compactly generated simple groups

Profinite groups with few conjugacy classes of elements of infinite order

Profinite groups with few conjugacy classes of p-elements

The soluble radical and orbits of certain maps on finite groups

First-order recognisability in finite and pseudofinite groups

Recognizing the real line

Profinite groups with few conjugacy classes of $p$ -elements