Hall-Higman-type theorems for semisimple elements of finite classical groups

DOI10.1112/plms/pdn017zbMath1173.20012arXiv0810.0855OpenAlexW2167577544MaRDI QIDQ3535596

Pham Hũ'u Tiêp, Alexander E. Zalesskij

Publication date: 13 November 2008

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0855

zbMATH Keywords

eigenvaluesWeil representationsirreducible representationsmodular representationsminimal polynomialsClifford groupsfinite classical groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (8)

Unisingular representations of finite symplectic groups ⋮ Hall-Higman type theorems for exceptional groups of Lie type. I ⋮ Almost cyclic elements in Weil representations of finite classical groups ⋮ Irreducible restrictions of Brauer characters of the Chevalley group \(G_2(q)\) to its proper subgroups. ⋮ Singer cycles in 2-modular representations of the group \(\mathrm{GL}_{n+1}(2)\) ⋮ The minimal polynomials of powers of cycles in the ordinary representations of symmetric and alternating groups ⋮ Real ordinary characters and real Brauer characters ⋮ On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.

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