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Counting compositions over finite abelian groups [PDF]
Electronic Journal of Combinatorics, 2017 We find the number of compositions over finite abelian groups under two types of restrictions: (i) each part belongs to a given subset and (ii) small runs of consecutive parts must have given properties.
Zhicheng Gao, Andrew MacFie, Qiang Wang
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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 B\"ottcher, Eisenbarth, Fukshansky, Garcia, Maharaj. Our methods also yield simpler proofs of two known results:
Ladisch, Frieder
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On Schurity of Finite Abelian Groups [PDF]
Communications in Algebra, 2013 A finite group G is called a Schur group, if any Schur ring over G is associated in a natural way with a subgroup of Sym(G) that contains all right translations. Recently, the authors have completely identified the cyclic Schur groups.
S. Evdokimov, I. Kov'acs, I. Ponomarenko
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Computational methods for difference families in finite abelian groups
Special Matrices, 2019 Our main objective is to show that the computational methods, developed previously to search for difference families in cyclic groups, can be fully extended to the more general case of arbitrary finite abelian groups.
Ðoković Dragomir Ž. +1 more
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On complexes in a finite abelian group, I [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1988 This paper is a sequel of a previous one [ibid. 64, No.7, 245-248 (1988; see the preceding review Zbl 0693.20022)], concerning the subsets of finite abelian groups. It contains the proofs of some results stated in that one.
Tamás Szőnyi, Ferenc Wettl
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On Lattices Generated by Finite Abelian Groups [PDF]
SIAM Journal on Discrete Mathematics, 2014 This paper is devoted to the study of lattices generated by finite Abelian groups. Special species of such lattices arise in the exploration of elliptic curves over finite fields.
A. Böttcher +3 more
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Automorphisms of Finite Abelian Groups [PDF]
The American Mathematical Monthly, 2006 Much less known, however, is that there is a description of Aut(G), the automorphism group of G. The first compete characterization that we are aware of is contained in a paper by Ranum [1] near the turn of the last century.
C. Hillar, D. Rhea
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On free products of finite abelian groups [PDF]
Proceedings of the American Mathematical Society, 1972 The purpose of this note is to show that if G is the free product of finitely many, finite abelian groups then the commutator subgroup is a finitely generated free group whose rank depends only on the number and orders of the factors. Moreover, we shall present a constructive procedure for obtaining a basis of this free group using the Kurosh rewriting
Michael Anshel, Robert Prener
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Cohomology groups of finite abelian groups [PDF]
Tohoku Mathematical Journal, 1952 Shuichi Takahashi
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Finite automata presentable abelian groups [PDF]
Annals of Pure and Applied Logic, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
André Nies, Pavel Semukhin
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