Sofia Brenner

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math.GR2025

Irredundant bases for soluble groups

Sofia Brenner, Coen del Valle, Colva M. Roney-Dougal

Let $I^$ be a finite set and $G$ be a subgroup of $Sym (I^)$ . An irredundant base for $G$ is a sequence of points of $I^$ yielding a strictly descending chain of poin…

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 ${\…

Irredundant bases for soluble groups

Semi-extraspecial p-groups with automorphisms of large order

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