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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Showing 2014Show all

4 papers · 1 filter

math.RT2014

Cartan matrices and Brauer's k(B)-Conjecture III

Benjamin Sambale

For a block $B$ of a finite group we prove that $k (B) \leq (det C - 1) / l (B) + l (B) \leq det C$ where $k (B)$ (respectively $l (B)$ ) is the number of irreducible ordinary (respectively Brauer…

math.RT2014

Cartan matrices and Brauer's k(B)-Conjecture IV

Benjamin Sambale

In this note we give applications of recent results coming mostly from the third paper of this series. It is shown that the number of irreducible characters in a $p$ -block of a fin…

math.RT2014

Blocks with transitive fusion systems

Lázló Héthelyi, Radha Kessar, Burkhard Külshammer +1

Suppose that all nontrivial subsections of a $p$ -block $B$ are conjugate (where $p$ is a prime). By using the classification of the finite simple groups, we prove that the defect g…

math.RT2014★ 1 cited

The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups

Benjamin Sambale

We prove the Alperin-McKay Conjecture for all $p$ -blocks of finite groups with metacyclic, minimal non-abelian defect groups. These are precisely the metacyclic groups whose derive…