Results 11 to 20 of about 276,781 (279)

Internal quantum reference frames for finite Abelian groups [PDF]

open access: yesJournal of Mathematics and Physics, 2021
Employing internal quantum systems as reference frames is a crucial concept in quantum gravity, gauge theories, and quantum foundations whenever external relata are unavailable.
Philipp A. Hoehn   +2 more
semanticscholar   +1 more source

Endomorphism kernel property for finite groups [PDF]

open access: yesMathematica Bohemica, 2022
A group $G$ has the endomorphism kernel property (EKP) if every congruence relation $\theta$ on $G$ is the kernel of an endomorphism on $G$. In this note we show that all finite abelian groups have EKP and we show infinite series of finite non-abelian ...
Heghine Ghumashyan, Jaroslav Guričan
doaj   +1 more source

Co-prime order graphs of finite Abelian groups and dihedral groups [PDF]

open access: yes, 2020
The \textbf{Co-Prime Order Graph} $\Theta (G)$ of a given finite group is a simple undirected graph whose vertex set is the group $G$ itself, and any two vertexes x,y in $\Theta (G)$ are adjacent if and only if $gcd(o(x),o(y))=1$ or prime. In this paper,
Amit Sehgal, Manjeet, Dalip Singh
semanticscholar   +1 more source

On Modified Erdős-Ginzburg-Ziv constants of finite abelian groups

open access: yesAIMS Mathematics, 2023
Let $ G $ be a finite abelian group with exponent $ \exp(G) $ and $ S $ be a sequence with elements of $ G $. We say $ S $ is a zero-sum sequence if the sum of the elements in $ S $ is the zero element of $ G $.
Yuting Hu, Jiangtao Peng , Mingrui Wang
doaj   +1 more source

Quantitative structure of stable sets in finite abelian groups [PDF]

open access: yesTransactions of the American Mathematical Society, 2018
We prove an arithmetic regularity lemma for stable subsets of finite abelian groups, generalising our previous result for high-dimensional vector spaces over finite fields of prime order. A qualitative version of this generalisation was recently obtained
Caroline Terry, Julia Wolf
semanticscholar   +1 more source

The cubic power graph of finite abelian groups

open access: yesAKCE International Journal of Graphs and Combinatorics, 2021
Let G be a finite abelian group with identity 0. For an integer the additive power graph of G is the simple undirected graph with vertex set G in which two distinct vertices x and y are adjacent if and only if x + y = nt for some with When the additive ...
R. Raveendra Prathap, T. Tamizh Chelvam
doaj   +1 more source

Quantum hashing for finite abelian groups [PDF]

open access: yesLobachevskii Journal of Mathematics, 2016
We propose a generalization of the quantum hashing technique based on the notion of small-bias sets. These sets have proved useful in different areas of computer science, and here their properties give an optimal construction for succinct quantum ...
A. Vasiliev
semanticscholar   +1 more source

ON THE SUM OF ELEMENT ORDERS OF FINITE ABELIAN GROUPS [PDF]

open access: yes, 2018
In this note some properties of the sum of element orders of a finite abelian group are studied.
M. Tărnăuceanu, Dániel Fodor
semanticscholar   +1 more source

EXPLICIT cocycle formulas on finite abelian groups with applications to braided linear Gr-categories and Dijkgraaf–Witten invariants [PDF]

open access: yesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 2017
We provide explicit and unified formulas for the cocycles of all degrees on the normalized bar resolutions of finite abelian groups. This is achieved by constructing a chain map from the normalized bar resolution to a Koszul-like resolution for any given
Hua-Lin Huang, Zheyan Wan, Yu Ye
semanticscholar   +1 more source

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