The Prime Graph of a Sporadic Simple Group
From MaRDI portal
Publication:4420221
DOI10.1081/AGB-120022800zbMath1031.20009MaRDI QIDQ4420221
Publication date: 14 August 2003
Published in: Communications in Algebra (Search for Journal in Brave)
Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
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), RECOGNIZING SOME FINITE SIMPLE GROUPS BY NONCOMMUTING GRAPH, 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 \(B_n(3)\)., On finite simple classical groups over fields of different characteristics with coinciding prime graphs, On finite simple linear and unitary groups of small size over fields of different characteristics with coinciding prime graphs, Recognition of the groups \(L_5(4)\) and \(U_4(4)\) by the prime graph., Quasirecognition by prime graph of \(F_4(q)\) where \(q=2^n>2\)., Simple exceptional groups of Lie type are determined by their character degrees., NCF-distinguishablity by prime graph of \(\text{PGL}(2,p)\) where \(p\) is a prime, Alternating and sporadic simple groups are determined by their character degrees., On finite tetraprimary groups., Quasirecognition by prime graph of finite simple groups \(L_n(2)\) and \(U_n(2)\)., On a conjecture about the quasirecognition by prime graph of some finite simple groups, A characterization of the finite simple group \(L_{16}(2)\) by its prime graph., On recognition of the sporadic simple groups \(HS\), \(J_3\), \(Suz\), \(O'N\), \(Ly\), \(Th\), \(Fi_{23}\), and \(Fi'_{24}\) by the Gruenberg-Kegel graph, Characterization of the group \(G_2(5)\) by the prime graph, Finite groups having the same prime graph as the group \(\Aut(J_2)\)., Recognition by prime graph of \(^2D_{2^m+1}(3)\)., QUASIRECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUPS G2(q) AND 2B2(q), On the prime graph of \(\text{PSL}(2,p)\) where \(p>3\) is a prime number., Simple groups whose Gruenberg-Kegel graph or solvable graph is split, Groups with the same prime graph as the simple group \(D_n(5)\)., Characterizing finite quasisimple groups by their complex group algebras., Recognizing simple \(K_4\)-groups by few special conjugacy class sizes, n-RECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUP PSL(2,q), CHARACTERIZATION BY PRIME GRAPH OF PGL(2, pk) WHERE p AND k > 1 ARE ODD, Recognition of the sporadic simple groups \(Ru\), \(HN\), \(Fi_{22}\), \(He\), \(M^cL\), and \(Co_3\) by their Gruenberg-Kegel graphs, On finite simple groups of exceptional Lie type over fields of different characteristics with coinciding prime graphs, Characterization of the alternating groups by their order and one conjugacy class length, On some Frobenius groups with the same prime graph as the almost simple group PGL(2,49), On finite simple linear and unitary groups over fields of different characteristics with coinciding prime graphs. I, Unnamed Item, Unnamed Item, On quasirecognition by prime graph of the simple groups $A^{+}_{n}(p)$ and $A^{-}_{n}(p)$, ON THE PRIME GRAPH OF SIMPLE GROUPS, Quasirecognition by prime graph of \(^2D_n(3^\alpha)\) where \(n=4m+1\geq 21\) and \(\alpha\) is odd, \text{M}, \text{B} and \(\mathrm{Co}_1\) are recognisable by their prime graphs, ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5)
Cites Work
- Prime graph components of finite groups
- Non-Abelian Sylow subgroups of finite groups of even order
- On finite simple groups of order divisible by three primes only
- On a conjecture of Frobenius
- PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
- The diameter of the prime graph of a finite group
- Prime graph components of the simple groups of Lie type over the field of even characteristic