G. Stroth

activity

20092026

most citedGroups which are almost groups of Lie type in characteristic p

12 citations · 22 across the 10 of their papers we have counts for

collaborators

13 papers

math.GR2026

The saturated fusion systems on a Sylow 2-subgroup of $Ω_{8}^{+} (2)$

Gernot Stroth

We consider saturated fusion systems $F$ on a Sylow $2$ -subgroup of $Ω_{8}^{+} (2)$ with $O_{2} (F) = 1$ . Examples for this are the $2$ -fusion systems of $Ω_{8}^{+} (2)$ , $Ω^+…

math.GR2019

The local structure theorem, the non-characteristic 2 case

Chris Parker, Gernot Stroth

Let $p$ be a prime, $G$ a finite $K_{p}$ -group, $S$ a Sylow $p$ -subgroup of $G$ and $Q$ be a large subgroup of $G$ in $S$ . The aim of the Local Structure Theorem is to prov…

math.GR2019

The Local Structure Theorem: The wreath product case

Chris Parker, Gernot Stroth

Groups with a large $p$ -subgroup, $p$ a prime, include almost all of the groups of Lie type in characteristic $p$ and so the study of such groups adds to our understanding of the f…

math.GR2014

A Family of fusion systems related to the groups $Sp_{4} (p^{a})$ and $G_{2} (p^{a})$

Christopher Parker, Gernot Stroth

A family of exotic fusion systems generalizing the group fusion systems on Sylow $p$ -subgroups of $G_{2} (p^{a})$ and $Sp_{4} (p^{a})$ is constructed.

math.GR2012★ 2 cited

An identification theorem for the sporadic simple groups F_2 and M(23)

Chris Parker, Gernot Stroth

We identify the sporadic groups M(23) and F_2 from the approximate structure of the centralizer of an element of order 3.

math.GR2012★ 1 cited

An improved 3-local characterisation of McL and its automorphism group

Chris Parker, Gernot Stroth

This article presents a 3-local characterisation of the sporadic simple group McL and its automorphism group. The theorem is underpinned by a further identification theorem the pro…

The saturated fusion systems on a Sylow 2-subgroup of Ω8+​(2)

The local structure theorem, the non-characteristic 2 case

The Local Structure Theorem: The wreath product case

A Family of fusion systems related to the groups Sp4​(pa) and G2​(pa)

An identification theorem for the sporadic simple groups F_2 and M(23)

An improved 3-local characterisation of McL and its automorphism group

The saturated fusion systems on a Sylow 2-subgroup of $Ω_{8}^{+} (2)$

A Family of fusion systems related to the groups $Sp_{4} (p^{a})$ and $G_{2} (p^{a})$