Results 31 to 40 of about 68,261 (266)

Varieties for Modules of Quantum Elementary Abelian Groups [PDF]

Algebras and Representation Theory, 2008
We define a rank variety for a module of a noncocommutative Hopf algebra $A = \rtimes G$ where $ = k[X_1, ..., X_m]/(X_1^{\ell}, ..., X_m^{\ell})$, $G = ({\mathbb Z}/\ell{\mathbb Z})^m$, and $\text{char} k$ does not divide $\ell$, in terms of certain subalgebras of $A$ playing the role of "cyclic shifted subgroups".
Pevtsova, Julia, Witherspoon, Sarah
openaire   +3 more sources

Transform Domain Characterization of Dual Group Codes of Cyclic Group Codes over Elementary Abelian Groups

Sultan Qaboos University Journal for Science, 2009
The group of characters of an elementary Abelian group  has been used to define duality between its subgroups, which in turn is extended to duality between group codes.
Adnan Abdulla Zain
doaj   +1 more source

Sum structures in abelian groups

Examples and Counterexamples, 2023
Any set S of elements from an abelian group produces a graph with colored edges G(S), with its points the elements of S, and the edge between points P and Q assigned for its “color” the sum P+Q.
Robert Haas
doaj   +1 more source

Solvable intransitive permutation groups with constant movement [PDF]

Journal of Mahani Mathematical Research
In this paper, all solvable intransitive permutation groups with constant movement are classified and we show that they are one of the following groups: a cyclic $p$-group, an elementary abelian $p$-group, a Frobenius group of order 12 or a Frobenius ...
Mehdi Rezaei, Mehdi Alaeiyan, Zeinab Foruzanfar   +2 more
doaj   +1 more source

Derived Subgroups of Fixed Points in Profinite Groups [PDF]

, 2011
The main result of this paper is the following theorem. Let q be a prime, A an elementary abelian group of order q^3. Suppose that A acts as a coprime group of automorphisms on a profinite group G in such a manner that C_G(a)' is periodic for each ...
Acciarri, C., Lima, A. de Souza, Shumyatsky, P.   +2 more
core   +1 more source

A remark on elementary abelian groups [PDF]

Bulletin of the Australian Mathematical Society, 1977
Dr M.F. Newman has asked whether in the absence of the Axiom of Choice it is possible to have two non-isomorphic elementary abelian groups of the same (finite) exponent and of the same (infinite) cardinality. By means of an example, I show that this is in fact possible, if the exponent is at least five; I do not know the answer in the remaining two ...
openaire   +1 more source

Elementary Abelian p-groups revisited [PDF]

Bulletin of the Australian Mathematical Society, 1995
For each prime p, a Fraenkel-Mostowski model is constructed in which there are two elementary Abelian p-groups with the same cardinality that are not isomorphic.
Howard, Paul, Rubin, Jean E.
openaire   +1 more source

2-elements in an Autotopism Group of a Semifield Projective Plane

Известия Иркутского государственного университета: Серия "Математика", 2022
We investigate the well-known hypothesis of D.R. Hughes that the full collineation group of non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written down by N.D. Podufalov). The spread
Olga Kravtsova
doaj   +1 more source

The torsion subgroup of the additive group of a Lie nilpotent associative ring of class 3 [PDF]

, 2013
Let $\mathbb Z \langle X \rangle$ be the free unital associative ring freely generated by an infinite countable set $X = \{ x_1,x_2, \dots \}$. Define a left-normed commutator $[x_1,x_2, \dots, x_n]$ by $[a,b] = ab - ba$, $[a,b,c] = [[a,b],c]$.
Deryabina, Galina, Krasilnikov, Alexei
core   +1 more source

A Note On Transversals [PDF]

, 2013
Let $G$ be a finite group and $H$ a core-free subgroup of $G$. We will show that if there exists a solvable, generating transversal of $H$ in $G$, then $G$ is a solvable group. Further, if $S$ is a generating transversal of $H$ in $G$ and $S$ has order 2
Jain, Vivek Kumar
core   +1 more source