Benjamin Sambale

activity

20092026

most citedFusion systems on metacyclic 2-groups

7 citations · 23 across the 55 of their papers we have counts for

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49 papers · 1 filter

math.RT2025

A counterexample to a conjecture of A. R. Miller

Gabriel Navarro, Benjamin Sambale

Let $χ$ be an irreducible character of a finite group $G$ . A. R. Miller conjectured that the proportion of elements $g \in G$ such that $χ (g)$ is zero or a root of unity is at least…

math.RT2024

Fusion invariant characters of p-groups

Benjamin Sambale

We consider complex characters of a p-group P, which are invariant under a fusion system F on P. Extending a theorem of Bárcenas--Cantarero to non-saturated fusion systems, we show…

math.RT2023

Principal 2-blocks with wreathed defect groups up to splendid Morita equivalence

Shigeo Koshitani, Caroline Lassueur, Benjamin Sambale

We classify principal $2$ -blocks of finite groups $G$ with Sylow $2$ -subgroups isomorphic to a wreathed $2$ -group $C_{2^{n}} ≀ C_{2}$ with $n \geq 2$ up to Morita equivalence and up to…

math.RT2023

Groups of p-central type

Benjamin Sambale

A finite group G with center Z is of central type if there exists a fully ramified character $λ \in Irr (Z)$ , i.e. the induced character $λ^{G}$ is a multiple of an irreducible…

math.RT2023

Real blocks with dihedral defect groups revisited

Benjamin Sambale

The Frobenius--Schur indicators of characters in a real 2-block with dihedral defect groups have been determined by Murray. We show that two infinite families described in his work…

math.RT2023

Fusion systems in representation theory

Benjamin Sambale

These notes arose from three lectures on fusion system I gave at the University of Valencia in February 2023. We first consider fusion phenomena in classical group theory. Then we…