n-RECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUP PSL(2,q)

DOI10.1142/S0219498808003090zbMath1177.20023MaRDI QIDQ3606591

Behrooz Khosravi

Publication date: 26 February 2009

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsfinite linear groupsrecognizabilityprime graphssets of element ordersGruenberg-Kegel graphs

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)

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QUASIRECOGNITION BY PRIME GRAPH OF SOME ORTHOGONAL GROUPS OVER THE BINARY FIELD, On the composition factors of a group with the same prime graph as B n (5), Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph, Quasirecognition by prime graph of the groups \(^2 D_{2n}(q)\) where \(q<10^5\), On nonabelian simple groups having the same prime graph as an alternating group., Groups with the same prime graph as the orthogonal group \(B_n(3)\)., Quasirecognition by prime graph of \(F_4(q)\) where \(q=2^n>2\)., NCF-distinguishablity by prime graph of \(\text{PGL}(2,p)\) where \(p\) is a prime, On finite tetraprimary groups., Quasirecognition by prime graph of finite simple groups \(L_n(2)\) and \(U_n(2)\)., Recognition by prime graph of \(^2D_{2^m+1}(3)\)., QUASIRECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUPS G₂(q) AND ²B₂(q), A new characterization for some linear groups., Groups with the same prime graph as the simple group \(D_n(5)\)., CHARACTERIZATION BY PRIME GRAPH OF PGL(2, p^k) WHERE p AND k > 1 ARE ODD, 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)

Cites Work

• \(r\)-recognizability of \(B_n(q)\) and \(C_n(q)\) where \(n=2^m\geqslant 4\).
• A characterization of the finite simple group \(L_{16}(2)\) by its prime graph.
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• Prime graph components of finite groups
• A Diophantine equation which arises in the theory of finite groups
• On Finite Groups with Cyclic Sylow Subgroups for all Odd Primes
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• The Prime Graph of a Sporadic Simple Group
• Endliche Gruppen I
• Prime graph components of the simple groups of Lie type over the field of even characteristic
• The characterization of \(\text{PSL}(2,q)\) by its element orders