R. Camina

activity

20102025

most citedThe influence of conjugacy class sizes on the structure of finite groups: a survey

1 citations · 2 across the 12 of their papers we have counts for

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Showing 2025 · math.GRShow all

3 papers · 2 filters

math.GR2025

Groups with conjugacy classes of coprime sizes

Rachel D. Camina, Attila Maróti, Emanuele Pacifici +6

Suppose that $x$ , $y$ are elements of a finite group $G$ lying in conjugacy classes of coprime sizes. We prove that $⟨ x^{G} ⟩ \cap ⟨ y^{G} ⟩$ is an abelian nor…

math.GR2025

Group cosets with all elements of equal order

Alan R. Camina, Rachel D. Camina, Mark L. Lewis +3

Let $G$ be a finite group and $N$ a proper, nontrivial, normal subgroup of $G$ . If, for every element $x$ of $G$ not lying in $N$ , the elements in the coset $x N$ all have the same…

math.GR2025

Semi-extraspecial $p$ -groups with automorphisms of large order

Sofia Brenner, Rachel D. Camina, Mark L. Lewis

In this paper, we consider semi-extraspecial $p$ -groups $G$ that have an automorphism of order $∣ G : G^{'} ∣ - 1$ . We prove that these groups are isomorphic to Sylow $p$ -subgroups of ${\…

Groups with conjugacy classes of coprime sizes

Group cosets with all elements of equal order

Semi-extraspecial p-groups with automorphisms of large order

Semi-extraspecial $p$ -groups with automorphisms of large order