Sofia Brenner

activity

20232026

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3 papers · 1 filter

math.CO2025

Symmetry classes of Hamiltonian cycles

Julia Baligacs, Sofia Brenner, Annette Lutz +1

We initiate the study of Hamiltonian cycles up to symmetries of the underlying graph. Our focus lies on the extremal case of Hamiltonian-transitive graphs, i.e., Hamiltonian graphs…

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 ${\…

math.GR2025

Irredundant bases for soluble groups

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

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

Symmetry classes of Hamiltonian cycles

Semi-extraspecial p-groups with automorphisms of large order

Irredundant bases for soluble groups

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