On the prime graphs of the automorphism groups of sporadic simple groups

Behrooz Khosravi

Displaying similar documents to “On the prime graphs of the automorphism groups of sporadic simple groups”

OD-characterization of almost simple groups related to $L_{2} (49)$

Liang Cai Zhang, Wu Jie Shi (2008)

Archivum Mathematicum

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In the present paper, we classify groups with the same order and degree pattern as an almost simple group related to the projective special linear simple group $L_{2} (49)$ . As a consequence of this result we can give a positive answer to a conjecture of W. J. Shi and J. X. Bi, for all almost simple groups related to $L_{2} (49)$ except $L_{2} (49) \cdot 2^{2}$ . Also, we prove that if $M$ is an almost simple group related to $L_{2} (49)$ except $L_{2} (49) \cdot 2^{2}$ and $G$ is a finite group such that $| G | = | M |$ and $Γ (G) = Γ (M)$ , then $G ≅ M$ .

On normal verbal embeddings of some classes of groups.

Mikaelian, Vahagn H. (2004)

Beiträge zur Algebra und Geometrie

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Sylow 2-subgroups of solvable Q-groups.

Mohammad Reza Darafsheh, H. Sharifi (2007)

Extracta Mathematicae

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A finite group whose irreducible characters are rational valued is called a rational or a Q-group. In this paper we obtain various results concerning the structure of a Sylow 2-subgroup of a solvable Q-group.

On residually finite groups and their generalizations

Andrzej Strojnowski (1999)

Colloquium Mathematicae

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The paper is concerned with the class of groups satisfying the finite embedding (FE) property. This is a generalization of residually finite groups. In [2] it was asked whether there exist FE-groups which are not residually finite. Here we present such examples. To do this, we construct a family of three-generator soluble FE-groups with torsion-free abelian factors. We study necessary and sufficient conditions for groups from this class to be residually finite. This answers the questions...

On finite groups with some conditions on subsets.

Taeri, Bijan (2009)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Quasirecognition by prime graph of $^{2} D_{p} (3)$ where $p = 2^{n} + 1 \geq 5$ is a prime.

Babai, A., Khosravi, B., Hasani, N. (2009)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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On recognition of the projective special linear groups over binary fields.

Grechkoseeva, M.A., Lucido, Maria Silvia, Mazurov, V.D., Moghaddamfar, Ali Reza, Vasil'ev, A.V. (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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Displaying similar documents to “On the prime graphs of the automorphism groups of sporadic simple groups”

OD-characterization of almost simple groups related to L 2 ( 49 )

On normal verbal embeddings of some classes of groups.

Sylow 2-subgroups of solvable Q-groups.

On residually finite groups and their generalizations

On finite groups with some conditions on subsets.

Quasirecognition by prime graph of 2 D p ( 3 ) where p = 2 n + 1 ≥ 5 is a prime.

On recognition of the projective special linear groups over binary fields.

OD-characterization of almost simple groups related to $L_{2} (49)$

Quasirecognition by prime graph of $^{2} D_{p} (3)$ where $p = 2^{n} + 1 \geq 5$ is a prime.