C. Parker

activity

20042022

most citedThe commuting graph of a soluble group

40 citations · 68 across the 18 of their papers we have counts for

collaborators

22 papers

math.GR2022

Squares of conjugacy classes and a variant on the Baer-Suzuki Theorem

Chris Parker, Jack Saunders

For $p$ a prime, $G$ a finite group and $A$ a normal subset of elements of order $p$ , we prove that if $A^{2} = {ab ∣ a, b \in A}$ consists of $p$ -elements then $Q = \langle A \…

math.GR2020★ 3 cited

Saturated fusion systems on $p$ -groups of maximal class

Valentina Grazian, Christopher Parker

For a prime number $p$ , a finite $p$ -group of order $p^{n}$ has maximal class if it has nilpotency class $n - 1$ . Here we examine saturated fusion systems on maximal class $p$ -groups a…

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.GR2018

Fusion systems on maximal class $3$ -groups of rank two revisited

Chris Parker, Jason Semeraro

We complete the determination of saturated fusion systems on maximal class 3-groups of rank two.

math.GR2016★ 1 cited

Fusion systems over a Sylow $p$ -subgroup of $G_{2} (p)$

Chris Parker, Jason Semeraro

For $S$ a Sylow $p$ -subgroup of the group $G_{2} (p)$ for $p$ odd, up to isomorphism of fusion systems, we determine all saturated fusion systems $F$ on $S$ with $O…

math.GR2016

Locally finite groups in which every non-cyclic subgroup is self-centralizing

Costantino Delizia, Urban Jezernik, Primoz Moravec +2

Locally finite groups having the property that every non-cyclic subgroup contains its centralizer are completely classified.

Squares of conjugacy classes and a variant on the Baer-Suzuki Theorem

Saturated fusion systems on p-groups of maximal class

The Local Structure Theorem: The wreath product case

Fusion systems on maximal class 3-groups of rank two revisited

Fusion systems over a Sylow p-subgroup of G2​(p)

Locally finite groups in which every non-cyclic subgroup is self-centralizing

Saturated fusion systems on $p$ -groups of maximal class

Fusion systems on maximal class $3$ -groups of rank two revisited

Fusion systems over a Sylow $p$ -subgroup of $G_{2} (p)$