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Study of Groups with basic property [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2012
The purpose of this paper is to study the concept of dependence , independence and the basis of some algebraic structure and give the definition of a finite group with basic property and study some of its basic properties .
Dunia Alawi Jarwan
doaj   +1 more source

Algebraic group actions on normal varieties

open access: yes, 2017
Let $G$ be a connected algebraic $k$-group acting on a normal $k$-variety, where $k$ is a field. We show that $X$ is covered by open $G$-stable quasi-projective subvarieties; moreover, any such subvariety admits an equivariant embedding into the ...
Brion, Michel
core   +2 more sources

Algebraic (2, 2)-transformation groups [PDF]

open access: yesJournal of Group Theory, 2009
This paper contains the more significant part of the article with the same title that will appear in the Volume 12 of Journal of Group Theory (2009). In this paper we determine all algebraic transformation groups $G$, defined over an algebraically closed field $\sf k$, which operate transitively, but not primitively, on a variety $ $, provided the ...
BARTOLONE, Claudio   +2 more
openaire   +4 more sources

Quantum Codes as an Application of Constacyclic Codes

open access: yesAxioms
The main focus of this paper is to analyze the algebraic structure of constacyclic codes over the ring R=Fp+w1Fp+w2Fp+w22Fp+w1w2Fp+w1w22Fp, where w12−α2=0, w1w2=w2w1, w23−β2w2=0, and α,β∈Fp∖{0}, for a prime p.
Mohd Arif Raza   +8 more
doaj   +1 more source

Shintani descent for algebraic groups and almost characters of unipotent groups

open access: yes, 2015
In this paper, we extend the notion of Shintani descent to general (possibly disconnected) algebraic groups defined over a finite field $\mathbb{F}_q$. For this, it is essential to treat all the pure inner $\mathbb{F}_q$-rational forms of the algebraic ...
Deshpande, Tanmay
core   +1 more source

Investigating Students’ Understanding of Complex Number and Its Relation to Algebraic Group Using and APOS Theory

open access: yesJournal of Medives: Journal of Mathematics Education IKIP Veteran Semarang, 2023
This study focused on students’ inability to correctly use psychometric tests applied for complex numbers in the context of generating an Algebraic abelian group (closure, commutative, associatively, inverse, and identity).
Idowu Oluwaseun Longe   +1 more
doaj   +1 more source

On unipotent algebraic G-groups and 1-cohomology

open access: yes, 2013
In this paper we consider non-abelian 1-cohomology for groups with coefficients in other groups. We prove versions of the `five lemma' arising from this situation.
Stewart, David I.
core   +1 more source

Group Algebras of Finite Groups as Lie Algebras [PDF]

open access: yesCommunications in Algebra, 2010
We consider the natural Lie algebra structure on the (associative) group algebra of a finite group $G$, and show that the Lie subalgebras associated to natural involutive antiautomorphisms of this group algebra are reductive ones. We give a decomposition in simple factors of these Lie algebras, in terms of the ordinary representations of $G$.
openaire   +2 more sources

Cyclic Codes over a Non-Local Non-Unital Ring

open access: yesMathematics
We study cyclic codes over the ring H of order 4 and characteristic 2 defined by generators and relations as H=⟨a,b∣2a=2b=0,a2=0,b2=b,ab=ba=0⟩. This is the first time that cyclic codes over a non-unitary ring are studied.
Adel Alahmadi   +2 more
doaj   +1 more source

Wonderful compactifications of Bruhat-Tits buildings [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2017
Given a split semisimple group over a local field, we consider the maximal Satake-Berkovich compactification of the corresponding Euclidean building. We prove that it can be equivariantly identified with the compactification which we get by embedding the
Bertrand Remy   +2 more
doaj   +1 more source

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