Results 11 to 20 of about 949,461 (274)

A Group Theoretic Approach to Cyclic Cubic Fields

open access: yesMathematics, 2023
Let (kμ)μ=14 be a quartet of cyclic cubic number fields sharing a common conductor c=pqr divisible by exactly three prime(power)s, p,q,r. For those components of the quartet whose 3-class group Cl3(kμ)≃(Z/3Z)2 is elementary bicyclic, the automorphism ...
Siham Aouissi, Daniel C. Mayer
doaj   +1 more source

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  

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

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

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

Which finite simple groups are unit groups? [PDF]

open access: yes, 2014
We prove that if $G$ is a finite simple group which is the unit group of a ring, then $G$ is isomorphic to either (a) a cyclic group of order 2; (b) a cyclic group of prime order $2^k -1$ for some $k$; or (c) a projective special linear group $PSL_n ...
Davis, Christopher, Occhipinti, Tommy
core   +2 more sources

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

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

The Rational valued characters of the Group (Q2m×C2)

open access: yesJournal of Kufa for Mathematics and Computer, 2012
The main purpose of this paper is to find the rational valued characters table of the group (Q2m×C2),when m=2h , h                         Z+, which is denoted by ≡*(Q2h+1×C2) ,where Q2m is denoted to Quaternion group ,and C2  is the ...
Nesir Rasool Mahmood, Hazim Ghdhaib Kalt
doaj   +1 more source

Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry [PDF]

open access: yes, 2001
Based on the observation that the moduli of a link variable on a cyclic group modify Connes' distance on this group, we construct several action functionals for this link variable within the framework of noncommutative geometry.
Dai, Jian, Song, Xing-Chang
core   +6 more sources

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