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Displaying 321 – 340 of 859

The Hughes subgroup

Robert Bryce (1994)

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

Let $G$ be a group and $p$ a prime. The subgroup generated by the elements of order different from $p$ is called the Hughes subgroup for exponent $p$ . Hughes [3] made the following conjecture: if $H_{p} (G)$ is non-trivial, its index in $G$ is at most $p$ . There are many articles that treat this problem. In the present Note we examine those of Strauss and Szekeres [9], which treats the case $p = 3$ and $G$ arbitrary, and that of Hogan and Kappe [2] concerning the case when $G$ is metabelian, and $p$ arbitrary. A common proof is...

The Hurwitz action and braid group orderings.

Funk, Jonathon (2001)

Theory and Applications of Categories [electronic only]

The Hurwitz Matrix Equations and Multifour Groups.

Samuel S.H. Young (1975)

Commentarii mathematici Helvetici

The hyperbolic square and Möbius transformations.

Ungar, Abraham A. (2007)

Banach Journal of Mathematical Analysis [electronic only]

The hyperbolic triangle centroid

Abraham A. Ungar (2004)

Commentationes Mathematicae Universitatis Carolinae

Some gyrocommutative gyrogroups, also known as Bruck loops or K-loops, admit scalar multiplication, turning themselves into gyrovector spaces. The latter, in turn, form the setting for hyperbolic geometry just as vector spaces form the setting for Euclidean geometry. In classical mechanics the centroid of a triangle in velocity space is the velocity of the center of momentum of three massive objects with equal masses located at the triangle vertices. Employing gyrovector space techniques we find...

The hypercentral structure of the group of unitriangular automorphisms of a polynomial algebra.

Sosnovskij, Yu.V. (2007)

Sibirskij Matematicheskij Zhurnal

The hyperrings of order 3.

Bayon, R., Lygeros, N. (2008)

Journal of Integer Sequences [electronic only]

The ideal structure of $C$ -semigroups

Štefan Schwarz (1977)

Czechoslovak Mathematical Journal

The ideal structure of simple ternary algebras

Juhani Nieminen (1978)

Colloquium Mathematicae

The idempotent lifting theorem for almost completely decomposable abelian groups

A. Mader, C. Vinsonhaler (1997)

Colloquium Mathematicae

The Indecomposable Modular Representations of Certain Groups with Dihedral Sylow Subgroup.

P.W. Donovan, M.-R. Preislich (1978)

Mathematische Annalen

The Indecomposable Representations of the Dihedral 2-Groups.

Claus Michael Ringel (1975)

Mathematische Annalen

The independence number of a subset of an Abelian group.

Bajnok, Béla, Ruzsa, Imre (2003)

Integers

The influence of weakly-supplemented subgroups on the structure of finite groups

Qingjun Kong, Qingfeng Liu (2014)

Czechoslovak Mathematical Journal

A subgroup $H$ of a finite group $G$ is weakly-supplemented in $G$ if there exists a proper subgroup $K$ of $G$ such that $G = H K$ . In the paper it is proved that a finite group $G$ is $p$ -nilpotent provided $p$ is the smallest prime number dividing the order of $G$ and every minimal subgroup of $P \cap G^{'}$ is weakly-supplemented in $N_{G} (P),$ where $P$ is a Sylow $p$ -subgroup of $G$ . As applications, some interesting results with weakly-supplemented minimal subgroups of $P \cap G^{'}$ are obtained.

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