Sofia Brenner

activity

20232026

collaborators

5 papers

cs.DS2026

Constant delay Gray code enumeration of ideals and antichains in posets

Sofia Brenner, Jiří Fink

We present an algorithm that enumerates all ideals of an input poset with constant delay in Gray code order, i.e., such that consecutively visited ideals differ in at most three el…

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…

math.RT2023

On the modular isomorphism problem for groups with center of index at most $p^{3}$

Sofia Brenner, Diego García-Lucas

Let $p$ be an odd prime number. We show that the modular isomorphism problem has a positive answer for finite $p$ -groups whose center has index $p^{3}$ , which is a strong contrast to…

Constant delay Gray code enumeration of ideals and antichains in posets

Symmetry classes of Hamiltonian cycles

Semi-extraspecial p-groups with automorphisms of large order

Irredundant bases for soluble groups

On the modular isomorphism problem for groups with center of index at most p3

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

On the modular isomorphism problem for groups with center of index at most $p^{3}$