Recognition of the linear groups over the binary field by the set of their element orders.

zbMath1158.20006MaRDI QIDQ949113

A. Mahmiani, Y. Farjami, Mohammad-Reza Darafsheh

Publication date: 20 October 2008

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

zbMATH Keywords

finite simple groupssets of element ordersrecognizable groupsorder graphsKegel-Gruenberg theorem

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (2)

Order of elements in the groups related to the general linear group. ⋮ The maximum element order in the groups related to the linear groups which is a multiple of the defining characteristic.

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