On quasirecognition by prime graph of the simple groups $A^{+}_{n}(p)$ and $A^{-}_{n}(p)$
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Publication:5498562
DOI10.1142/S0219498815500061zbMath1310.20017MaRDI QIDQ5498562
Behrooz Khosravi, A. Mahmoudifar
Publication date: 9 February 2015
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
finite simple groupsspectrafinite linear groupsprime graphssets of element ordersquasirecognitionquasirecognizable groupsArtin conjecture
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 (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 a conjecture about the quasirecognition by prime graph of some finite simple groups ⋮ On some Frobenius groups with the same prime graph as the almost simple group PGL(2,49) ⋮ Unnamed Item
Cites Work
- Groups with the same prime graph as the orthogonal group \(B_n(3)\).
- Finite groups having the same prime graph as the group \(\Aut(J_2)\).
- On finite groups with disconnected prime graph.
- Quasirecognition by prime graph of finite simple groups \(L_n(2)\) and \(U_n(2)\).
- On element orders in covers of finite simple classical groups.
- Cocliques of maximal size in the prime graph of a finite simple group
- An Adjacency Criterion for the Prime Graph of a Finite Simple Group
- Recognition by spectrum for finite linear groups over fields of characteristic 2
- ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS
- The Prime Graph of a Sporadic Simple Group
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