Results 1 to 10 of about 12,511,421 (301)

The group of classes of congruent matrices with application to the group of isomorphisms of any abelian group [PDF]

, 1907
AN ordinary linear congruence group, or JORDAN t group, may be considered as a group of matrices whose elements (coefficients) are all residues of the same modulus n, or in other words as a group of classes of congruent matrices, mod m. Among the writers
Arthur Ranum
openalex   +2 more sources

Comparison of Pre and Post-Action of a Finite Abelian Group Over Certain Nonlinear Schemes

IEEE Access, 2020
This paper proposes to present a novel group theoretic approach of improvising the cryptographic features of substitution-boxes. The approach employs a proposed finite Abelian group of order 3720 with three generators and six relations.
Muhammad Awais Yousaf, Hanan Alolaiyan, Musheer Ahmad, Muhammad Dilbar, Abdul Razaq   +4 more
doaj   +2 more sources

The Subgroups of the Quaternary Abelian Linear Group [PDF]

, 1914
With the possible exception of the binary modular groups there is no finite linear group which is of more importance in analysis and geometry than what is known as the abelian^ linear group.
Howard H. Mitchell
openalex   +2 more sources

Two-dimensional non-Abelian Thouless pump [PDF]

Nature Communications
Non-Abelian Thouless pumps are periodically driven systems designed by the non-Abelian holonomy principle, in which quantized transport of degenerate eigenstates emerges, exhibiting noncommutative features such that the outcome depends on the pumping ...
Yi-Ke Sun, Zhong-Lei Shan, Zhen-Nan Tian, Qi-Dai Chen, Xu-Lin Zhang   +4 more
doaj   +2 more sources

An infinite primary abelian group without proper isomorphic subgroups [PDF]

, 1962
Communicated by R. S. Pierce, April 18, 1962 In a recent article Beaumont and Pierce considered the problem of determining those abelian groups which have proper isomorphic subgroups.
Peter Crawley
openalex   +2 more sources

The Groups of Isometries of Metric Spaces over Vector Groups

Mathematics, 2022
In this paper, we consider the groups of isometries of metric spaces arising from finitely generated additive abelian groups. Let A be a finitely generated additive abelian group.
Sheng Bau, Yiming Lei
doaj   +1 more source

Binding number for coprime graph of groups

AKCE International Journal of Graphs and Combinatorics, 2023
Let G be a finite group with identity e. The coprime of G, ΓG is a graph with G as the vertex set and two distinct vertices u and v are adjacent if and only if [Formula: see text] In this paper, we characterize the groups for which the binding number of ...
A. Mallika, J. Ahamed Thamimul Ansari
doaj   +1 more source

Unit groups of finite group algebras of Abelian groups of order 17 to 20

AIMS Mathematics, 2021
Let $ F $ be a finite field of characteristic $ p $ having $ q = p^n $ elements and $ G $ be an abelian group. In this paper, we determine the structure of the group of units of the group algebra $ FG $, where $ G $ is an abelian group of order $ 17\leq |
Yunpeng Bai , Yuanlin Li, Jiangtao Peng
doaj   +1 more source

NagE: Non-Abelian Group Embedding for Knowledge Graphs

International Conference on Information and Knowledge Management, 2020
We demonstrated the existence of a group algebraic structure hidden in relational knowledge embedding problems, which suggests that a group-based embedding framework is essential for designing embedding models.
Tong Yang, Long Sha, Pengyu Hong
semanticscholar   +1 more source

G-Tutte Polynomials and Abelian Lie Group Arrangements [PDF]

International mathematics research notices, 2017
For a list $\mathcal{A}$ of elements in a finitely generated abelian group $\Gamma $ and an abelian group $G$, we introduce and study an associated $G$-Tutte polynomial, defined by counting the number of homomorphisms from associated finite abelian ...
YE Liu, T. Tran, M. Yoshinaga
semanticscholar   +1 more source