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Displaying 981 – 1000 of 1356

The Number of Solutions of x3 = 1 in a 3-Group.

Thomas J. Laffey (1976)

Mathematische Zeitschrift

The Number of Stem Covers of an Elementary Abelian p-Group.

Ursula Martin Webb (1983)

Mathematische Zeitschrift

The Ore conjecture

Martin Liebeck, E.A. O’Brien, Aner Shalev, Pham Tiep (2010)

Journal of the European Mathematical Society

The Ore conjecture, posed in 1951, states that every element of every finite non-abelian simple group is a commutator. Despite considerable effort, it remains open for various infinite families of simple groups. In this paper we develop new strategies, combining character-theoretic methods with other ingredients, and use them to establish the conjecture.

The other $P (G, V)$ -theorem

U. Meierfrankenfeld, B. Stellmacher (2006)

Rendiconti del Seminario Matematico della Università di Padova

The $p$ -nilpotency of finite groups with some weakly pronormal subgroups

Jianjun Liu, Jian Chang, Guiyun Chen (2020)

Czechoslovak Mathematical Journal

For a finite group $G$ and a fixed Sylow $p$ -subgroup $P$ of $G$ , Ballester-Bolinches and Guo proved in 2000 that $G$ is $p$ -nilpotent if every element of $P \cap G^{'}$ with order $p$ lies in the center of $N_{G} (P)$ and when $p = 2$ , either every element of $P \cap G^{'}$ with order $4$ lies in the center of $N_{G} (P)$ or $P$ is quaternion-free and $N_{G} (P)$ is $2$ -nilpotent. Asaad introduced weakly pronormal subgroup of $G$ in 2014 and proved that $G$ is $p$ -nilpotent if every element of $P$ with order $p$ is weakly pronormal in $G$ and when $p = 2$ , every element of $P$ with order $4$ is also...

The $p^{*} p$ -injectors of a finite group

M. J. Iranzo, M. Torres (1989)

Rendiconti del Seminario Matematico della Università di Padova

The partition problem for equifacetal simplices.

Edmonds, Allan L. (2009)

Beiträge zur Algebra und Geometrie

The periodic groups saturated by finitely many finite simple groups.

Lytkina, D.V., Tukhvatullina, L.R., Filippov, K.A. (2008)

Sibirskij Matematicheskij Zhurnal

The pi-separability of Certain Factorizable Groups.

Peter J. Rowley (1977)

Mathematische Zeitschrift

The primitive distance-transitive representations of the Fischer groups.

Linton, Stephen A., Lux, Klaus, Soicher, Leonard H. (1995)

Experimental Mathematics

The product of generalized subnormal subgroups in finite groups.

Semenchuk, V.N., Mokeeva, S.A., Mokeeva, O.A. (2009)

Sibirskij Matematicheskij Zhurnal

The residually weakly primitive geometries of $J_{3}$ .

Leemans, Dimitri (2004)

Experimental Mathematics

The Roquette category of finite $p$ -groups

Serge Bouc (2015)

Journal of the European Mathematical Society

Let $p$ be a prime number. This paper introduces the Roquette category $ℛ_{p}$ of finite $p$ -groups, which is an additive tensor category containing all finite $p$ -groups among its objects. In $ℛ_{p}$ , every finite $p$ -group $P$ admits a canonical direct summand $\partial P$ , called the edge of $P$ . Moreover $P$ splits uniquely as a direct sum of edges of Roquette $p$ -groups, and the tensor structure of $ℛ_{p}$ can be described in terms of such edges. The main motivation for considering this category is that the additive functors from $ℛ_{p}$ to...

The Semidirect Products of Finite Cyclic Groups That Are I-E Groups.

Gary L. Peterson (1996)

Monatshefte für Mathematik

The semigroup of finite complexes of a group

Ann Miller, Franklin D. Pedersen, Walter S. Sizer (1983)

Czechoslovak Mathematical Journal

The situation of $S p_{4} (4) \cdot 2$ in the sporadic simple group He

Dieter Held (1988)

Rendiconti del Seminario Matematico della Università di Padova

The small Ree group $^{2} G_{2} (3^{2 n + 1})$ and related graph

Alireza K. Asboei, Seyed S. S. Amiri (2018)

Commentationes Mathematicae Universitatis Carolinae

Let $G$ be a finite group. The main supergraph $𝒮 (G)$ is a graph with vertex set $G$ in which two vertices $x$ and $y$ are adjacent if and only if $o (x) ∣ o (y)$ or $o (y) ∣ o (x)$ . In this paper, we will show that $G ≅^{2} G_{2} (3^{2 n + 1})$ if and only if $𝒮 (G) ≅ 𝒮 (^{2} G_{2} (3^{2 n + 1}))$ . As a main consequence of our result we conclude that Thompson’s problem is true for the small Ree group $^{2} G_{2} (3^{2 n + 1})$ .

Currently displaying 981 – 1000 of 1356

Previous Page 50 Next

Displaying 981 – 1000 of 1356

The Number of Solutions of x3 = 1 in a 3-Group.

The Number of Stem Covers of an Elementary Abelian p-Group.

The Ore conjecture

The other $P (G, V)$ -theorem

The $p$ -nilpotency of finite groups with some weakly pronormal subgroups

The $p^{*} p$ -injectors of a finite group

The partition problem for equifacetal simplices.

The periodic groups saturated by finitely many finite simple groups.

The pi-separability of Certain Factorizable Groups.

The primitive distance-transitive representations of the Fischer groups.

The product of generalized subnormal subgroups in finite groups.

The residually weakly primitive geometries of $J_{3}$ .

The Roquette category of finite $p$ -groups

The Semidirect Products of Finite Cyclic Groups That Are I-E Groups.

The semigroup of finite complexes of a group

The situation of $S p_{4} (4) \cdot 2$ in the sporadic simple group He

The small Ree group $^{2} G_{2} (3^{2 n + 1})$ and related graph

The structure of finite p-groups: effective proof of the coclass conjectures.

The Structure of the Linear Homogeneous Groups Defined by the Invariant ...........................

The subgroups of $M_{24}$ , or how to compute the table of marks of a finite group.

Currently displaying 981 – 1000 of 1356