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20-XX Group theory and generalizations
20Dxx Abstract finite groups
20D06 Simple groups: alternating groups and groups of Lie type

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Displaying 1 – 20 of 24

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

Liang Cai Zhang, Wu Jie Shi (2008)

Archivum Mathematicum

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 a group acting locally freely on an Abelian group.

Zhurtov, A. Kh. (2003)

Sibirskij Matematicheskij Zhurnal

On a group that acts freely on an Abelian group.

Mazurov, V.D., Churkin, V.A. (2001)

Sibirskij Matematicheskij Zhurnal

On composition factors of finite groups having the same set of element orders as the group $U_{3} (q)$ .

Aleeva, M.R. (2002)

Sibirskij Matematicheskij Zhurnal

On extensions of the maximal cyclotomic field having a given classical Galois group.

G.V. Belyi (1983)

Journal für die reine und angewandte Mathematik

On finite groups isospectral to simple symplectic and orthogonal groups.

Vasil'ev, A.V., Grechkoseeva, M.A., Mazurov, V.D. (2009)

Sibirskij Matematicheskij Zhurnal

On Finite Groups with Given Conjugate Types. III.

Noboru Ito (1970)

Mathematische Zeitschrift

On minimal permutation representations of classical simple groups.

Grechkoseeva, M. A. (2003)

Sibirskij Matematicheskij Zhurnal

On recognition by spectrum of finite simple linear groups over fields of characteristic 2.

Vasil'ev, A.V., Grechkoseeva, M.A. (2005)

Sibirskij Matematicheskij Zhurnal

On recognition of all finite nonabelian simple groups with orders having prime divisors at most 13.

Vasil'ev, A.V. (2005)

Sibirskij Matematicheskij Zhurnal

On recognition of the finite simple orthogonal groups of dimension $2^{m}$ , $2^{m} + 1$ , and $2^{m} + 2$ over a field of characteristic 2.

Vasil'ev, A.V., Grechkoseeva, M.A. (2004)

Sibirskij Matematicheskij Zhurnal

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]

On strong reality of the unipotent Lie-type subgroups over a field of characteristic 2.

Gazdanova, M.A., Nuzhin, Ya.N. (2006)

Sibirskij Matematicheskij Zhurnal

On the composition factors of a group with the same prime graph as $B_{n} (5)$

Azam Babai, Behrooz Khosravi (2012)

Czechoslovak Mathematical Journal

Let $G$ be a finite group. The prime graph of $G$ is a graph whose vertex set is the set of prime divisors of $| G |$ and two distinct primes $p$ and $q$ are joined by an edge, whenever $G$ contains an element of order $p q$ . The prime graph of $G$ is denoted by $Γ (G)$ . It is proved that some finite groups are uniquely determined by their prime graph. In this paper, we show that if $G$ is a finite group such that $Γ (G) = Γ (B_{n} (5))$ , where $n \geq 6$ , then $G$ has a unique nonabelian composition factor isomorphic to $B_{n} (5)$ or $C_{n} (5)$ .

On the conjugacy problem for Carter subgroups.

Vdovin, E.P. (2006)

Sibirskij Matematicheskij Zhurnal

On the definability of the group $L_{2} (7)$ by its spectrum.

Kuznetsov, A.A. (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

On the difference between the spectra of the simple groups $B_{n} (q)$ and $C_{n} (q)$ .

Grechkoseeva, M.A. (2007)

Sibirskij Matematicheskij Zhurnal

On the Dirichlet polynomial of finite group of Lie type

Erika Damian, Andrea Lucchini (2006)

Rendiconti del Seminario Matematico della Università di Padova

On the lattice automorphisms of $S L (n, q)$ and $P S L (n, q)$

Helmut Völklein (1986)

Rendiconti del Seminario Matematico della Università di Padova

On the maximal subgroups of the finite classical groups.

M. Aschbacher (1984)

Inventiones mathematicae

Currently displaying 1 – 20 of 24

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