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The maximum element order in the groups related to the linear groups which is a multiple of the defining characteristic.

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Publication:958609
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DOI10.1016/j.ffa.2008.05.007zbMath1153.20043OpenAlexW2046299507MaRDI QIDQ958609

Mohammad-Reza Darafsheh

Publication date: 5 December 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.2008.05.007


zbMATH Keywords

finite linear groupselement orderselements of maximal order


Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60)


Related Items

A note on an infeasible linearization of some block ciphers ⋮ How to construct a triangular matrix of a given order ⋮ Recognition of the projective special linear group over \(\text{GF}(3)\). ⋮ On classification of 2-arc transitive Cayley graphs of the dicyclic group



Cites Work

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  • Recognition of the linear groups over the binary field by the set of their element orders.
  • Order of elements in the groups related to the general linear group.
  • The Characters of the Finite General Linear Groups
  • An Adjacency Criterion for the Prime Graph of a Finite Simple Group
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