RECOGNITION OF SOME FINITE SIMPLE GROUPS OF TYPE Dn(q) BY SPECTRUM
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Publication:3398317
DOI10.1142/S0218196709005299zbMath1182.20016OpenAlexW2062443874MaRDI QIDQ3398317
Publication date: 28 September 2009
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218196709005299
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)
Related Items (13)
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) ⋮ Groups with the same prime graph as the orthogonal group \(B_n(3)\). ⋮ On \(r\)-recognition by prime graph of \(B_p(3)\) where \(p\) is an odd prime. ⋮ Finite groups isospectral to simple groups ⋮ On finite groups isospectral to simple classical groups. ⋮ On element orders in covers of finite simple classical groups. ⋮ Recognition by prime graph of \(^2D_{2^m+1}(3)\). ⋮ On recognition by spectrum of the simple groups \(B_3(q)\), \(C_3(q)\), and \(D_4(q)\). ⋮ Groups with the same prime graph as the simple group \(D_n(5)\). ⋮ Element orders in covers of finite simple groups of Lie type ⋮ Quasirecognition by prime graph of \(^2D_n(3^\alpha)\) where \(n=4m+1\geq 21\) and \(\alpha\) is odd ⋮ Recognition by spectrum for simple classical groups in characteristic 2.
Cites Work
- Prime graph components of finite groups
- Prime power graphs for groups of Lie type
- On \(p^x-q^y=c\) and related three term exponential Diophantine equations with prime bases.
- \(A_ 1\)-type overgroups of elements of order \(p\) in semisimple algebraic groups and the associated finite groups
- An Adjacency Criterion for the Prime Graph of a Finite Simple Group
- Involutions in Chevalley groups over fields of even order
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