The essential \(p\)-dimension of the split finite quasi-simple groups of classical Lie type

DOI10.1016/j.jalgebra.2022.11.030OpenAlexW4313593632MaRDI QIDQ2685361

Hannah Knight

Publication date: 21 February 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.02698

zbMATH Keywords

representation theorySylow \(p\)-subgroupsessential dimensionfinite quasi-simple groups of classical Lie typeWigner-Mackey theory

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Related Items (1)

Fixed points, local monodromy, and incompressibility of congruence covers

Cites Work

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• Some consequences of the Karpenko-Merkurjev theorem.
• Essential dimension of finite \(p\)-groups.
• Essential dimension: A functorial point of view (after A. Merkurjev)
• Essential dimension of finite groups in prime characteristic
• Orbit lengths and character degrees in \(p\)-Sylow subgroups of some classical Lie groups
• On a conjecture concerning character degrees of some \(p\)-groups
• Essential dimensions of \(A_7\) and \(S_7\)
• Minimal dimension of faithful representations for \(p\)-groups
• ON IRREDUCIBILITY OF INDUCED MODULES AND AN ADAPTATION OF THE WIGNER-MACKEY METHOD OF LITTLE GROUPS
• Pseudo-reflection groups and essential dimension
• Irreducible characters of a sylowp-subgroup of the orthogonal group
• Kirillov's orbit method and polynomiality of the faithful dimension of $p$-groups

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