Groups with the same prime graph as the orthogonal group \(B_n(3)\).

DOI10.1134/S0037446613030142zbMath1281.20016OpenAlexW1997527669MaRDI QIDQ359377

Behrooz Khosravi, Zahra Momen

Publication date: 12 August 2013

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446613030142

zbMATH Keywords

finite simple groupsrecognitioncomposition factorsprime graphssets of element ordersrecognizable groupsspectra of finite groupsfinite orthogonal groupsquasirecognitionquasirecognizable groups

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)

Related Items (2)

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ On quasirecognition by prime graph of the simple groups $A^{+}_{n}(p)$ and $A^{-}_{n}(p)$

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(r\)-recognition by prime graph of \(B_p(3)\) where \(p\) is an odd prime.
• Characterization of the finite simple groups by spectrum and order.
• Recognition of simple groups \(B_p(3)\) by the set of element orders.
• 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
• Quasirecognition by prime graph of finite simple groups \(L_n(2)\) and \(U_n(2)\).
• Recognition by prime graph of \(^2D_{2^m+1}(3)\).
• Cocliques of maximal size in the prime graph of a finite simple group
• Quasirecognition by prime graph of \(^2D_p(3)\) where \(p=2^n+1\geq 5\) is a prime.
• On recognizability by spectrum of finite simple groups of types \(B_n\), \(C_n\), and \(^2D_n\) for \(n=2^k\).
• 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 \(^2F_4(q)\).
• Certain embeddings among finite groups of Lie type
• A characterization of some orthogonal groups
• Pure quantitative characterization of finite simple groups.
• Prime graph components of finite almost simple groups
• QUASIRECOGNITION BY PRIME GRAPH OF SOME ORTHOGONAL GROUPS OVER THE BINARY FIELD
• CHARACTERIZATION BY PRIME GRAPH OF PGL(2, p^k) WHERE p AND k > 1 ARE ODD
• RECOGNITION OF SOME FINITE SIMPLE GROUPS OF TYPE D_n(q) BY SPECTRUM
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• n-RECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUP PSL(2,q)
• The Prime Graph of a Sporadic Simple Group
• Finite simple unisingular groups of Lie type
• Quasirecognition by prime graph of simple group D_n(3)
• Recognition of finite groups by the prime graph

This page was built for publication: Groups with the same prime graph as the orthogonal group \(B_n(3)\).