On the orders of primitive linear P'-groups

DOI10.1017/S0004972700015951zbMath0831.20028MaRDI QIDQ4283043

A. Gambini Weigel, Thomas S. Weigel

Publication date: 12 April 1994

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

primitive linear groupsfaithful permutation representationsnumber of elementsclassification of finite simple groups\(p\)- singular elements

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Primitive groups (20B15) Other matrix groups over finite fields (20H30)

Related Items (6)

Primitive sharp permutation groups with large solvable subgroups ⋮ ALGORITHMS TO IDENTIFY ABUNDANTp-SINGULAR ELEMENTS IN FINITE CLASSICAL GROUPS ⋮ Fixed conjugacy classes of normal subgroups and the \(k(GV)\)-problem. ⋮ Asymptotic results for primitive permutation groups and irreducible linear groups. ⋮ Arithmetic results on orbits of linear groups ⋮ Lower bounds for the number of conjugacy classes of finite groups

Cites Work

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• On the maximal subgroups of the finite classical groups
• A polynomial bound for the orders of primitive solvable groups
• On the minimal degrees of projective representations of the finite Chevalley groups
• Minimal degree for a permutation representation of a classical group
• Polynomial-time algorithms for finding elements of prime order and sylow subgroups
• On Abelian Quotients of Primitive Groups
• Endliche Gruppen I

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