ON THE RECOGNITION OF THE SIMPLE GROUPS L7(3) AND L8(3) BY THE SPECTRUM

DOI10.1142/S0218196708004706zbMath1158.20005MaRDI QIDQ3528859

Mohammad-Reza Darafsheh

Publication date: 17 October 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

finite simple groupssets of element ordersorder graphsKegel-Gruenberg theorem

Mathematics Subject Classification ID

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 (1)

Recognition of the projective special linear group over \(\text{GF}(3)\).

Cites Work

• Order of elements in the groups related to the general linear group.
• Prime graph components of finite groups
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• Calculating the set of orders of elements in the finite linear groups

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