Results 31 to 40 of about 228,669 (269)
A note on abelian cubulated groups [PDF]
arXiv, 2022 An abelian group acting freely on a $\mathrm{CAT}(0)$ cube complex is free abelian.
arxiv
Discrete Mathematics, 2010 AbstractWe define a group G to be graphically abelian if the function g↦g−1 induces an automorphism of every Cayley graph of G. We give equivalent characterizations of graphically abelian groups, note features of the adjacency matrices for Cayley graphs of graphically abelian groups, and show that a non-abelian group G is graphically abelian if and ...
Kathryn Weld, Richard Goldstone
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Annihilating Graph of Abelian Groups
پژوهشهای ریاضی, 2021 In [18], the author associated a graph to an R -module M which is precisely a generalization of annihilating ideal graph of a commutative ring, see [15] and [16]. Inasmuch as Abelian groups are precisely Z-modules, in this paper we relate an annihilating
saeed safaeeyan, Soraya Barzegar
doaj
Character groups of Metacyclic groups [PDF]
arXiv, 2023 Pontryagin duality provides a powerful tool for analyzing the structure and properties of locally compact abelian groups, in particular finite abelian groups. Now much can be done with non-abelian groups via the construction of character groups. In this paper we provide a set of conditions a group must satisfy to be realized as a balanced character ...
arxiv
On Some Results of a Torsion-Free Abelian Kernel Group
Recoletos Multidisciplinary Research Journal, 2014 In [6], for any torsion-free abelian groups Gand H, the kernel of Hin GisfHGGHHomfker, ker,. The kernel of Hin Gis a pure fully invariant subgroup of G.
Ricky B. Villeta
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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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Perfect state transfer on semi-Cayley graphs over abelian groups [PDF]
arXiv, 2022 In this paper, we consider the problem on the existence of perfect state transfer(PST for short) on semi-Cayley graphs over abelian groups (which are not necessarily regular), i.e on the graphs having semiregular and abelian subgroups of automorphisms with two orbits of equal size.
arxiv
On the finite axiomatizability of some metabelian profinite groups [PDF]
arXiv, 2023 Finitely generated (non-abelian) free metabelian pro-p groups, and wreath products of f.g. free abelian pro-p groups, are all finitely axiomatizable in the class of all profinite groups.
arxiv
Astronomische Nachrichten, EarlyView.ABSTRACT The physics of heavy‐ion collisions is one of the most exciting and challenging directions of science for the last four decades. On the theoretical side one deals with a non‐abelian field theory, while on the experimental side today's largest accelerators are needed to enable these studies.
Marcus Bleicher, Elena Bratkovskaya
wiley +1 more source
form, 2013 Abstract. We deal with some pcf (possible cofinality theory) investigations mostly motivated by questions in abelian group theory. We concentrate on applications to test problems but we expect the combinatorics will have reasonably wide applications.
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