Zobrazeno 1 - 10
of 375
pro vyhledávání: '"Malle, Gunter"'
Autor:
Malle, Gunter, Fry, A. A. Schaeffer
The Eaton--Moret\'o conjecture extends the recently-proven Brauer height zero conjecture to blocks with non-abelian defect group, positing equality between the minimal positive heights of a block of a finite group and its defect group. Here we provid
Externí odkaz:
http://arxiv.org/abs/2410.22745
Autor:
Malle, Gunter
The concept of $S$-characters of finite groups was introduced by Zhmud as a generalisation of transitive permutation characters. Any non-trivial $S$-character takes a zero value on some group element. By a deep result depending on the classification
Externí odkaz:
http://arxiv.org/abs/2408.16785
Autor:
Malle, Gunter, Rizo, Noelia
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 G and the p-local structure of G.
Externí odkaz:
http://arxiv.org/abs/2405.08723
Autor:
Malle, Gunter
We discuss computational results on field extensions $K/{\mathbb Q}$ of degree $n\le11$ with Galois group of the Galois closure isomorphic to the full symmetric group ${\mathfrak S}_n$. More precisely, we present statistics on the number of such exte
Externí odkaz:
http://arxiv.org/abs/2403.09146
Autor:
Dudas, Olivier, Malle, Gunter
We determine the rationality properties of unipotent characters of finite reductive groups arising as fixed points of disconnected reductive groups under a Frobenius map. In the proof we use realisations of characters in $\ell$-adic cohomology groups
Externí odkaz:
http://arxiv.org/abs/2402.09960
Recently, Malle and Navarro obtained a Galois strengthening of Brauer's height zero conjecture for principal $p$-blocks when $p=2$, considering a particular Galois automorphism of order~$2$. In this paper, for any prime $p$ we consider a certain elem
Externí odkaz:
http://arxiv.org/abs/2402.08361
Autor:
Kessar, Radha, Malle, Gunter
We complete the determination of the $\ell$-block distribution of characters for quasi-simple exceptional groups of Lie type up to some minor ambiguities relating to non-uniqueness of Jordan decomposition. For this, we first determine the $\ell$-bloc
Externí odkaz:
http://arxiv.org/abs/2311.13510
Conjecture A of \cite{EM14} predicts the equality between the smallest positive height of the irreducible characters in a $p$-block of a finite group and the smallest positive height of the irreducible characters in its defect group. Hence, it can be
Externí odkaz:
http://arxiv.org/abs/2305.19816
Let $\ell$ be a prime. If ${\mathbf G} $ is a compact connected Lie group, or a connected reductive algebraic group in characteristic different from $\ell$, and $\ell$ is a good prime for ${\mathbf G}$, we show that the number of weights of the $\ell
Externí odkaz:
http://arxiv.org/abs/2303.05932