Character bounds for regular semisimple elements and asymptotic results on Thompson's conjecture

DOI10.1007/s00209-022-03193-3OpenAlexW4317716275WikidataQ123346324 ScholiaQ123346324MaRDI QIDQ2697508

Jay Taylor, Michael J. Larsen, Pham Hũ'u Tiêp

Publication date: 12 April 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.09262

Mathematics Subject Classification ID

Linear algebraic groups and related topics (20Gxx) Representation theory of groups (20Cxx) Abstract finite groups (20Dxx)

Related Items (1)

Products of derangements in simple permutation groups

Cites Work

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• The Ore conjecture.
• Character sheaves. IV
• On the eigenvalues of representations of reflection groups and wreath products
• On the minimal degrees of projective representations of the finite Chevalley groups
• Representations of reductive groups over finite fields
• The blocks of finite general linear and unitary groups
• Sharper character value estimates for groups of Lie type
• The decomposition of Lusztig induction in classical groups
• Products of conjugacy classes in groups
• Simple endotrivial modules for linear, unitary and exceptional groups.
• A Murnaghan–Nakayama rule for values of unipotent characters in classical groups
• Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements
• Simple groups admit Beauville structures
• Word maps and Waring type problems
• Characters of Reductive Groups over a Finite Field. (AM-107)
• The Characters of the Finite General Linear Groups
• Unipotent class functions of split special orthogonal groups over finite fields
• On the conjectures of J. Thompson and O. Ore
• Character degrees and random walks in finite groups of Lie type
• Une conjecture de Lusztig pour les groupes classiques
• The largest irreducible representations of simple groups
• The unipotent class functions on the symplectic groups and the odd orthogonal groups over finite fields
• CHARACTER LEVELS AND CHARACTER BOUNDS
• Representations of Finite Groups of Lie Type
• The Character Theory of Finite Groups of Lie Type
• The combinatorics of GL n generalized Gelfand-Graev characters
• Some Remarks on Commutators

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