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most citedSimple groups admit Beauville structures

99 citations · 258 across the 56 of their papers we have counts for

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math.RT2025

The Picky Conjecture for groups of Lie type

Gunter Malle, A. A. Schaeffer Fry

Recently, Moretó and Rizo proposed a conjecture, known as the Picky Conjecture, proposing new character correspondences extending the McKay Conjecture. We prove the Picky Conjectur…

math.RT2025

Intersections of blocks of cyclotomic Hecke algebras

Maria Chlouveraki, Gunter Malle

Trinh and Xue have proposed a startling conjecture on intersections of blocks of cyclotomic Hecke algebras occurring in modular representation theory of finite reductive groups. We…

math.RT2025

Generic weights for finite reductive groups

Zhicheng Feng, Gunter Malle, Jiping Zhang

This paper is motivated by the study of Alperin's weight conjecture in the representation theory of finite groups. We generalize the notion of -cuspidality in the -Harish-Cha…

math.RT2024

The continuity of -rationality of characters and the principal block

Gunter Malle, J. Miquel Martínez, Carolina Vallejo

We study rationality properties of irreducible characters of finite groups. We show that the continuity of -rationality is a phenomenon that can be detected in the principal …

math.RT2024

On minimal positive heights for blocks of almost quasi-simple groups

Gunter Malle, A. A. Schaeffer Fry

The Eaton--Moretó conjecture extends the recently-proven Brauer height zero conjecture to blocks with non-abelian defect group, positing equality between the minimal positive heigh…

math.RT2024

Decomposition numbers in the principal block and Sylow normalisers

Gunter Malle, Noelia Rizo

If G is a finite group and p is a prime number, we investigate the relationship between the p-modular decomposition numbers of characters of height zero in the principal p-block of…