Results 1 to 10 of about 12,672,108 (295)
Perpendicularity in an Abelian Group [PDF]
International Journal of Mathematics and Mathematical Sciences, 2013 We give a set of axioms to establish a perpendicularity relation in an Abelian group and then study the existence of perpendicularities in (ℤn,+) and (ℚ+,·) and in certain other groups.
Pentti Haukkanen +3 more
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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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Proceedings of the American Mathematical Society, 1967 Finite p-groups in which the relation (xy)P =xPyP is satisfied by all elements x, y have been called p-abelian by C. Hobby [1]. Two examples of classes of such groups are the groups of exponent p and the abelian p-groups. The purpose of this note is to show that these two classes of groups "span" the class of p-abelian groups in the following sense. If
Paul M. Weichsel
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Complexes in Abelian Groups [PDF]
Canadian Journal of Mathematics, 1954 Let G be an abelian group of order [G] ≤ ∞. Let A = {a}, B = {b}, … denote non-empty finite complexes in G. Let [A] be the number of elements of A. Finally putA + B = {a + b}.
Peter Scherk, J. H. B. Kemperman
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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 group of classes of congruent matrices with application to the group of isomorphisms of any abelian group [PDF]
, 1907 Arthur Ranum
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The Subgroups of the Quaternary Abelian Linear Group [PDF]
, 1914 Howard H. Mitchell
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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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