Results 11 to 20 of about 965,975 (328)

Cyclic Soft Groups and Their Applications on Groups [PDF]

open access: yesThe Scientific World Journal, 2014
In crisp environment the notions of order of group and cyclic group are well known due to many applications. In this paper, we introduce order of the soft groups, power of the soft sets, power of the soft groups, and cyclic soft group on a group. We also
Hacı Aktaş, Şerif Özlü
doaj   +4 more sources

Groups with cyclic derived factor-group [PDF]

open access: yesProceedings of the American Mathematical Society, 1990
In [1] it is proved that a k k -generator metabelian group with G / G ′ G/G’ cyclic can be generated by k k conjugates of a single element, and the problem was left over as to whether this is true for soluble groups in general.
Heineken, Hermann   +3 more
openaire   +1 more source

Cyclic Orbit Codes [PDF]

open access: yes, 2011
In network coding a constant dimension code consists of a set of k-dimensional subspaces of F_q^n. Orbit codes are constant dimension codes which are defined as orbits of a subgroup of the general linear group, acting on the set of all subspaces of F_q^n.
Braun, Michael   +3 more
core   +1 more source

Orthonormal cyclic groups [PDF]

open access: yesPacific Journal of Mathematics, 1954
Sia \( \left\{A_{n}(x)\right\} \quad(n=0, \pm 1, \pm 2, \ldots) \) una successione di funzioni complesse, misurabili, formanti un gruppo ciclico moltiplicativo, esista cioè una funzione \( A_{1}(x) \) generatrice del gruppo tale che \( A_{n}(x)=\left[A_{1}(x)\right]^{n} \quad(n=0, \pm 1, \pm 2, \ldots) \). La condizione necessaria e sufficiente perchè \
openaire   +3 more sources

A survey on projectively equivalent representations of finite groups [PDF]

open access: yesSurveys in Mathematics and its Applications, 2020
The paper is a survey type article in which we present some results on projectively equivalent representations of finite groups.
Tania Luminiţa Costache
doaj  

Crossed product of cyclic groups [PDF]

open access: yesCzechoslovak Mathematical Journal, 2010
To appear in Czechoslovak Mathematical ...
Agore, Ana, Fratila, Dragos
openaire   +3 more sources

On logically cyclic groups [PDF]

open access: yesJournal of Group Theory, 2014
Abstract A group G is called logically cyclic if it has an element s such that every element of G can be defined by a first-order formula with parameter s. The aim of this paper is to investigate the structure of such groups.
openaire   +2 more sources

The structure of groups with cyclic commutator subgroups indecomposable to a subdirect product of groups [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
The article studies finite groups indecomposable to subdirect product of groups (subdirectly irreducible groups), commutator subgroups of which are cyclic subgroups.
Kozlov, Vladimir Anatolievich   +1 more
doaj   +1 more source

Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank [PDF]

open access: yesAdvances in Group Theory and Applications, 2016
It is proved that a group which is the product of pairwise permutable abelian subgroups of finite Prüfer rank is hyperabelian with finite Prüfer rank; in the periodic case the Sylow subgroups of such a product are described.
Bernhard Amberg, Yaroslav P. Sysak
doaj   +1 more source

On the holomorph of a cyclic group [PDF]

open access: yesTransactions of the American Mathematical Society, 1903
It is known that the holomorph (K) of a cyclic group (G) is a complete group and that its commutator subgroup is G whenever the order (g) of G is odd. WAThen g > 2 is even, the commutator subgroup of K is the subgroup of G whose order is g/2, and K is never complete.t The main object of this paper is to determine additional useful properties of Kwhose ...
openaire   +1 more source

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