Chris Parker

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20242026

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math.GR2026

The structure of finite groups invariably generated by two elements of prime order

Inna Capdeboscq, Chris Parker

A group $G$ is invariably generated by two elements $a$ and $b$ if $G = ⟨ a^{g}, b^{h} ⟩$ for all $g, h \in G$ . This paper provides a structural description of finite groups inv…

math.GR2026

Quasisimple groups with a proper subgroup having the same vector orbits in characteristic $2$

Chris Parker, B. G. Rodrigues

Let $p$ be a prime, $G$ be a finite group, $H$ a proper subgroup of $G$ and $V$ a finite dimensional $GF (p) G$ -module. The triple $(G, H, V)$ is immutable if and only if $G$ and $H$ h…

The structure of finite groups invariably generated by two elements of prime order

Quasisimple groups with a proper subgroup having the same vector orbits in characteristic 2

Quasisimple groups with a proper subgroup having the same vector orbits in characteristic $2$