Maximal overgroups of Singer elements in classical groups

DOI10.1006/jabr.2000.8458zbMath0971.20024OpenAlexW2064441649MaRDI QIDQ1841822

Áron Bereczky

Publication date: 29 October 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8458

zbMATH Keywords

symplectic groupsmaximal subgroupsorthogonal groupsunitary groupsfinite classical groupslinear groupsirreducible elements of maximal orderSinger elements

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Maximal subgroups (20E28)

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Uses Software

• GAP

Cites Work

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• On the maximal subgroups of the finite classical groups
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order. II
• Linear groups containing a Singer cycle
• Maximal subgroups of \(G_2(2^n)\)
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order
• Singer-Zyklen in klassischen Gruppen
• Generation of classical groups
• Linear Groups with Orders Having Certain Large Prime Divisors