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

DOI10.1007/s10114-010-8154-zzbMath1198.20015OpenAlexW1985769077MaRDI QIDQ2269608

Mohammad-Reza Darafsheh

Publication date: 17 March 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8154-z

zbMATH Keywords

projective special linear groupssets of element ordersrecognizable groupsrecognition by spectrum

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

Almost recognizability by spectrum of finite simple linear groups of prime dimension.

Cites Work

• On element orders in coverings of the simple groups \(L_n(q)\) and \(U_n(q)\).
• The maximum element order in the groups related to the linear groups which is a multiple of the defining characteristic.
• Prime graph components of finite groups
• A Diophantine equation which arises in the theory of finite groups
• Recognition of alternating groups of prime degree from their element orders
• On finite simple groups with the set of element orders as in a Frobenius group or a double Frobenius group.
• On groups with the same set of order elements
• ON THE RECOGNITION OF THE SIMPLE GROUPS L₇(3) AND L₈(3) BY THE SPECTRUM
• Centralizers of Semisimple Elements in the Finite Classical Groups
• Prime graph components of the simple groups of Lie type over the field of even characteristic
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