Results 1 to 10 of about 12,863,172 (309)
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 +4 more
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Two-dimensional non-Abelian Thouless pump [PDF]
Nature CommunicationsNon-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 +4 more
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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
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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
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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
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Rendiconti del Seminario Matematico della Università di Padova, 2023 In a recent paper written by Y. Ibrahim and M. Yousif (2018), the following class of modules is considered: a right R -module M is called a Utumi
Călugăreanu, Grigore, Das, Soumitra
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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
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Maximal abelian subgroups of the finite symmetric group [PDF]
International Journal of Group Theory, 2021 Let $G$ be a group. For an element $a\in G$, denote by $\cs(a)$ the second centralizer of~$a$ in~$G$, which is the set of all elements $b\in G$ such that $bx=xb$ for every $x\in G$ that commutes with $a$.
Janusz Konieczny
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Endoprimal abelian groups [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1999 AbstractA group A is said to be endoprimal if its term functions are precisely the functions which permute with all endomorphisms of A. In this paper we describe endoprimal groups in the following three classes of abelian groups: torsion groups, torsionfree groups of rank at most 2, direct sums of a torsion group and a torsionfree group of rank 1.
Kaarli, Kalle, Márki, László
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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
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