Order of elements in the groups related to the general linear group.

DOI10.1016/j.ffa.2004.12.003zbMath1147.20043OpenAlexW2000404947MaRDI QIDQ955205

Mohammad-Reza Darafsheh

Publication date: 19 November 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2004.12.003

zbMATH Keywords

conjugacy classesgeneral linear groupsfinite fieldsspecial linear groupssets of orders of elements

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (15)

Good reduction of periodic points on projective varieties ⋮ Recognition of the groups \(L_5(4)\) and \(U_4(4)\) by the prime graph. ⋮ Primitive polynomials, Singer cycles and word-oriented linear feedback shift registers ⋮ Bounds on orders of linear automata ⋮ ON THE RECOGNITION OF THE SIMPLE GROUPS L₇(3) AND L₈(3) BY THE SPECTRUM ⋮ Uniform bounds for periods of endomorphisms of varieties ⋮ Characterization of the group \(G_2(5)\) by the prime graph ⋮ Small weight codewords of projective geometric codes ⋮ How to construct a triangular matrix of a given order ⋮ The maximum element order in the groups related to the linear groups which is a multiple of the defining characteristic. ⋮ On the regular semisimple elements and primary classes of \(\text{GL}(n,q)\). ⋮ Unnamed Item ⋮ Polynomials with AGL-monodromy ⋮ Unnamed Item ⋮ Conjugacy Classes ofP-Cycles of Type D in Alternating Groups

Cites Work

• Recognition of the linear groups over the binary field by the set of their element orders.
• The Characters of the Finite General Linear Groups
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