Results 71 to 80 of about 12,511,421 (301)
Finite self-similar p-groups with abelian first level stabilizers
We determine all finite p-groups that admit a faithful, self-similar action on the p-ary rooted tree such that the first level stabilizer is abelian. A group is in this class if and only if it is a split extension of an elementary abelian p-group by a ...
Berlatto A.+9 more
core +1 more source
A Dichotomy Theorem for Γ ${\rm{\Gamma }}$‐Switchable H $H$‐Colouring on m $m$‐Edge‐Coloured Graphs
ABSTRACT Let G $G$ be a graph in which each edge is assigned one of the colours 1,2,…,m $1,2,\ldots ,m$, and let Γ ${\rm{\Gamma }}$ be a subgroup of Sm ${S}_{m}$. The operation of switching at a vertex x $x$ of G $G$ with respect to an element π $\pi $ of Γ ${\rm{\Gamma }}$ permutes the colours of the edges incident with x $x$ according to π $\pi $. We
Richard Brewster+2 more
wiley +1 more source
On Some Results of a Torsion-Free Abelian Trace Group
In [6], givenany torsion-free abelian groups Gand H, the pure trace of Hin Gis *,:,GHHomfHfGHtr which is equivalent to the set ZnGHHomfHfngGgsomefor ,,:.The pure trace GHtr, is a pure fully invariant subgroup of G.
Ricky B. Villeta
doaj +1 more source
Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis+3 more
wiley +1 more source
From free abelian groups to free abelian ℓ-groups
Abstract For each n, the free abelian group F on countably many free generators will be equipped with a monoid P n making (F,P n) into the free n-generator abelian ℓ-group. This is a generalization of the main result of the second author, published in the J. Pure Appl.
MUNDICI, DANIELE, J. Kuehr
openaire +3 more sources
Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware
Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine+3 more
wiley +1 more source
Let p be a prime. It is shown that an automorphism α of an abelian p-group A lifts to any abelian p-group of which A is a homomorphic image if and only if α=π idA, with π an invertible p-adic integer.
S. Abdelalim, H. Essannouni
doaj +1 more source
Free dihedral actions on abelian varieties
We give a simple construction for hyperelliptic varieties, defined as the quotient of a complex torus by the action of a finite group $G$ that contains no translations and acts freely, with $G$ any dihedral group. This generalizes a construction given by
Bruno Aguiló Vidal
doaj +1 more source
We consider the fine grading of $sl(n,\mb C)$ induced by tensor product of generalized Pauli matrices in the paper. Based on the classification of maximal diagonalizable subgroups of $PGL(n,\mb C)$ by Havlicek, Patera and Pelantova, we prove that any ...
Gang Han, Karpilovsky G.
core +1 more source
Abelian groups that are direct summands of every containing abelian group
It is a well known theorem that an abelian group G satisfying G = nG for every positive integer n is a direct summand of every abelian group H which contains G as a subgroup.
R. Baer
semanticscholar +1 more source