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Displaying 701 – 720 of 1356

On the number of generating pairs for the groups $L_{2} (2^{m})$ and $S z (2^{2 k + 1})$ .

Suchkov, N.M., Prikhod'ko, D.M. (2001)

Sibirskij Matematicheskij Zhurnal

On the number of maximal theta pairs in a finite group

Ali Reza Ashrafi, Rasoul Soleimani (2001)

Acta Mathematica et Informatica Universitatis Ostraviensis

On the number of normal subgroups of a given prime index

Jiří Parobek (1976)

Časopis pro pěstování matematiky

On the number of solutions of equation $x^{p^{k}} = 1$ in a finite group

Yakov Berkovich (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Theorem A yields the condition under which the number of solutions of equation $x^{p^{k}} = 1$ in a finite $p$ -group is divisible by $p^{n + k}$ (here $n$ is a fixed positive integer). Theorem B which is due to Avinoam Mann generalizes the counting part of the Sylow Theorem. We show in Theorems C and D that congruences for the number of cyclic subgroups of order $p^{k}$ which are true for abelian groups hold for more general finite groups (for example for groups with abelian Sylow $p$ -subgroups).

On the Occurrence of the Complete Graph $K_{5}$ in the Hasse Graph of a Finite Group

Roland Schmidt (2006)

Rendiconti del Seminario Matematico della Università di Padova

On the Order of Doubly Transitive Permutation Groups.

László Babai (1981/1982)

Inventiones mathematicae

On the $p$ -length of the product of two Shmidt groups.

Knyagina, V.N., Monakhov, V.S. (2004)

Sibirskij Matematicheskij Zhurnal

On the $p$ -supersolubility of a finite group with a $μ$ -supplemented Sylow $p$ -subgroup.

Monakhov, V.S., Shnyparkov, A.V. (2009)

Sibirskij Matematicheskij Zhurnal

On the prefrattini subgroups of finite soluble groups.

Kamornikov, S.F. (2008)

Sibirskij Matematicheskij Zhurnal

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

Behrooz Khosravi (2009)

Archivum Mathematicum

In this paper as the main result, we determine finite groups with the same prime graph as the automorphism group of a sporadic simple group, except $J_{2}$ .

On the product of two n-decomposable soluble groups.

L. S. Kazarin, A. Martínez-Pastor, M. D. Pérez-Ramos (2009)

Publicacions Matemàtiques

On the projective characters in characteristic 2 of the groups $S u z (2^{m})$ and $S p_{4} (2^{n})$

Leonard Chastkofsky, Walter Feit (1980)

Publications Mathématiques de l'IHÉS

On the Projectives of a Group Algebras.

Wolfgang Willems (1980)

Mathematische Zeitschrift

On the proof of a theorem of Pálfy.

Dobson, Edward (2006)

The Electronic Journal of Combinatorics [electronic only]

On the rarity of quasinormal subgroups

John Cossey, Stewart Stonehewer (2011)

Rendiconti del Seminario Matematico della Università di Padova

On the recognizability of some projective general linear groups by the prime graph

Masoumeh Sajjadi (2022)

Commentationes Mathematicae Universitatis Carolinae

Let $G$ be a finite group. The prime graph of $G$ is a simple graph $Γ (G)$ whose vertex set is $π (G)$ and two distinct vertices $p$ and $q$ are joined by an edge if and only if $G$ has an element of order $p q$ . A group $G$ is called $k$ -recognizable by prime graph if there exist exactly $k$ nonisomorphic groups $H$ satisfying the condition $Γ (G) = Γ (H)$ . A 1-recognizable group is usually called a recognizable group. In this problem, it was proved that $PGL (2, p^{α})$ is recognizable, if $p$ is an odd prime and $α > 1$ is odd. But for even $α$ , only the recognizability...

We investigate the situation when the inner mapping group of a commutative loop is of order $2 p$ , where $p = 4 t + 3$ is a prime number, and we show that then the loop is solvable.

On the Splitting of Extensions by a Group of Prime Order.

John S. Rose (1970)

Mathematische Zeitschrift

Currently displaying 701 – 720 of 1356

Previous Page 36 Next

Displaying 701 – 720 of 1356

On the number of generating pairs for the groups $L_{2} (2^{m})$ and $S z (2^{2 k + 1})$ .

On the number of maximal theta pairs in a finite group

On the number of normal subgroups of a given prime index

On the number of solutions of equation $x^{p^{k}} = 1$ in a finite group

On the Occurrence of the Complete Graph $K_{5}$ in the Hasse Graph of a Finite Group

On the Order of Doubly Transitive Permutation Groups.

On the $p$ -length of the product of two Shmidt groups.

On the $p$ -supersolubility of a finite group with a $μ$ -supplemented Sylow $p$ -subgroup.

On the prefrattini subgroups of finite soluble groups.

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

On the product of two n-decomposable soluble groups.

On the projective characters in characteristic 2 of the groups $S u z (2^{m})$ and $S p_{4} (2^{n})$

On the Projectives of a Group Algebras.

On the proof of a theorem of Pálfy.

On the rarity of quasinormal subgroups

On the recognizability of some projective general linear groups by the prime graph

On the regular Sylow $p$ -subgroups of Chevalley groups over $Z_{p^{m}}$ .

On the Shemetkov problem for Fitting classes.

On the solvability of commutative loops and their multiplication groups

On the Splitting of Extensions by a Group of Prime Order.

Currently displaying 701 – 720 of 1356