NCF-distinguishablity by prime graph of \(\text{PGL}(2,p)\) where \(p\) is a prime

DOI10.1216/RMJ-2011-41-5-1523zbMath1246.20032MaRDI QIDQ640272

Behrooz Khosravi, Zeinab Akhlaghi, Maryam Khatami

Publication date: 18 October 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite simple groupscomposition factorslinear groupsprime graphs2-Frobenius groups

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 (8)

On the composition factors of a group with the same prime graph as B n (5) ⋮ Groups with the same prime graph as the orthogonal group \(B_n(3)\). ⋮ Quasirecognition by prime graph of finite simple groups \(L_n(2)\) and \(U_n(2)\). ⋮ Groups with the same prime graph as the simple group \(D_n(5)\). ⋮ On some Frobenius groups with the same prime graph as the almost simple group PGL(2,49) ⋮ Unnamed Item ⋮ Quasirecognition by prime graph of \(^2D_n(3^\alpha)\) where \(n=4m+1\geq 21\) and \(\alpha\) is odd ⋮ ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5)

Uses Software

• GAP

Cites Work

• A characterization of the finite simple group \(L_{16}(2)\) by its prime graph.
• On the prime graph of \(\text{PSL}(2,p)\) where \(p>3\) is a prime number.
• Quasirecognition by prime graph of the simple group \(^2F_4(q)\).
• Prime graph components of finite groups
• A Diophantine equation which arises in the theory of finite groups
• Die Zerlegungsmatrizen der Gruppen \(PSL(2,p^f)\)
• The Characterization of Almost Simple GroupsPGL(2,p) by Their Element Orders
• Recognition of the finite almost simple groups PGL2(q) by their spectrum
• n-RECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUP PSL(2,q)
• The diameter of the prime graph of a finite group
• A characterization of some alternating and symmetric groups
• The Prime Graph of a Sporadic Simple Group
• Groups Having Strongly Self-Centralizing 3-Centralizers
• Prime graph components of the simple groups of Lie type over the field of even characteristic
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