A characterization of the finite simple group \(L_{16}(2)\) by its prime graph.

DOI10.1007/s00229-007-0160-9zbMath1143.20009OpenAlexW1981796029MaRDI QIDQ926274

Bahman Khosravi, Behrooz Khosravi, Behnam Khosravi

Publication date: 27 May 2008

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-007-0160-9

zbMATH Keywords

finite simple groupsspectraprime graphsprojective special linear groupssets of element ordersrecognizable groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) 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

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) ⋮ On characterization of a completely simple semigroup by its power graph and Green relations ⋮ Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ On nonabelian simple groups having the same prime graph as an alternating group. ⋮ Groups with the same prime graph as the orthogonal group \(B_n(3)\). ⋮ Recognition of the groups \(L_5(4)\) and \(U_4(4)\) by the prime graph. ⋮ NCF-distinguishablity by prime graph of \(\text{PGL}(2,p)\) where \(p\) is a prime ⋮ Quasirecognition by prime graph of finite simple groups \(L_n(2)\) and \(U_n(2)\). ⋮ Characterization of the group \(G_2(5)\) by the prime graph ⋮ QUASIRECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUPS G₂(q) AND ²B₂(q) ⋮ Characterizations of the simple group \(^2D_n(3)\) by prime graph and spectrum. ⋮ Groups with the same prime graph as the simple group \(D_n(5)\). ⋮ n-RECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUP PSL(2,q) ⋮ CHARACTERIZATION BY PRIME GRAPH OF PGL(2, p^k) WHERE p AND k > 1 ARE ODD ⋮ 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

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