Recognition of the finite almost simple groups PGL2(q) by their spectrum

DOI10.1515/JGT.2007.007zbMath1121.20018MaRDI QIDQ3432511

Wujie Shi, Andrey V. Vasilev, Victor D. Mazurov, Archil Khazeshevich Zhurtov, Gui-Yun Chen

Publication date: 17 April 2007

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

spectraalmost simple groupsrecognizabilityprime graphssets of element ordersGruenberg-Kegel graphsprojective linear groups

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (6)

Prime index elements graph of a group ⋮ Finite groups isospectral to simple groups ⋮ NCF-distinguishablity by prime graph of \(\text{PGL}(2,p)\) where \(p\) is a prime ⋮ On the power graph and the reduced power graph of a finite group ⋮ On some Frobenius groups with the same prime graph as the almost simple group PGL(2,49) ⋮ Unnamed Item

Cites Work

• The centralizers of semisimple elements of the Chevalley groups \(E_ 7\) and \(E_ 8\)
• Prime graph components of finite groups
• Die Zerlegungsmatrizen der Gruppen \(PSL(2,p^f)\)
• The Characterization of Almost Simple GroupsPGL(2,p) by Their Element Orders
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• Recognition of the simple groups L3(q) by element orders

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