Results 1 to 10 of about 6,156 (235)
Lattices of Finite Abelian Groups [PDF]
Discrete & Computational Geometry, 2019 We study certain lattices constructed from finite abelian groups. We show that such a lattice is eutactic, thereby confirming a conjecture by Böttcher, Eisenbarth, Fukshansky, Garcia, Maharaj. Our methods also yield simpler proofs of two known results: First, such a lattice is strongly eutactic if and only if the abelian group has odd order or is ...
Ladisch, Frieder
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On Abelian group representability of finite groups
Advances in Mathematics of Communications, 2014 14 ...
Eldho K. Thomas +2 more
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Root extraction in finite Abelian groups
Journal of Computational Algebra, 2023 We formulate the Root Extraction problem in finite Abelian $p$-groups and then extend it to generic finite Abelian groups. We provide algorithms to solve them. We also give the bounds on the number of group operations required for these algorithms. We observe that once a basis is computed and the discrete logarithm relative to the basis is solved, root
Udvas Acharjee, M.S. Srinath
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The partition problem for finite abelian groups
Journal of Combinatorial Theory, Series A, 1980 AbstractBy the aid of a slight generalization of the Hales-Jewett theorem [Trans. Amer. Math. Soc. 106 (1963), 222–229] we investigate the partition problem for finite Abelian groups. In particular the partition problem for the class of finitely generated free modules over Zq is solved. By the results of Deuber and Rothschild [“Coll. Math. Soc.
Voigt, Bernd
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Endomorphism kernel property for finite groups [PDF]
Mathematica 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
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The cubic power graph of finite abelian groups
AKCE 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
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Decomposing finite Abelian groups [PDF]
Quantum Information and Computation, 2001 This paper describes a quantum algorithm for efficiently decomposing finite Abelian groups into a product of cyclic groups. Such a decomposition is needed in order to apply the Abelian hidden subgroup algorithm. Such a decomposition (assuming the Generalized Riemann Hypothesis) also leads to an efficient algorithm for computing class numbers (known to ...
Kevin K. H. Cheung, Michele Mosca
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Automorphisms of Finite Abelian Groups [PDF]
The American Mathematical Monthly, 2007 We give an accessible and modern description of the automorphisms of a finite abelian group $G$. Included is an explicit formula for the cardinality of $Aut(G)$.
Christopher J. Hillar, Darren L. Rhea
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Anomalies of non-Abelian finite groups via cobordism
Journal of High Energy Physics, 2022 We use cobordism theory to analyse anomalies of finite non-abelian symmetries in 4 spacetime dimensions. By applying the method of ‘anomaly interplay’, which uses functoriality of cobordism and naturality of the η-invariant to relate anomalies in a group
Joe Davighi +2 more
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On Schurity of Finite Abelian Groups [PDF]
Communications in Algebra, 2015 20 ...
Evdokimov, Sergei +2 more
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