Results 11 to 20 of about 83,213 (229)
On free products of finitely generated abelian groups [PDF]
Transactions of the American Mathematical Society, 1974 Anthony Gaglione
semanticscholar +5 more sources
The general product of two finitely generated abelian groups [PDF]
Proceedings of the American Mathematical Society, 1969 Eugene Schenkman
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The multiple holomorph of a finitely generated abelian group [PDF]
Journal of Algebra, 2017 W.H.~Mills has determined, for a finitely generated abelian group $G$, the regular subgroups $N \cong G$ of $S(G)$, the group of permutations on the set $G$, which have the same holomorph of $G$, that is, such that $N_{S(G)}(N) = N_{S(G)}( (G))$, where $ $ is the (right) regular representation.
Caranti, Andrea, F. Dalla Volta
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Minimal additive complements in finitely generated abelian groups [PDF]
The Ramanujan Journal, 2021 Given two non-empty subsets $W,W'\subseteq G$ in an arbitrary abelian group $G$, $W'$ is said to be an additive complement to $W$ if $W + W'=G$ and it is minimal if no proper subset of $W'$ is a complement to $W$. The notion was introduced by Nathanson and previous work by him, Chen--Yang, Kiss--S ndor--Yang etc. focussed on $G =\mathbb{Z}$.
Arindam Biswas +3 more
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Finitely generated subgroups as von Neumann radicals of an Abelian group [PDF]
Математичні Студії, 2012 Let G be an infinite Abelian group. We give a complete characterization of those finitely generated subgroups of G which are the von Neumann radicals for some Hausdorff group topologies on G.
S. S. Gabriyelyan
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Lattice-ordered abelian groups finitely generated as semirings [PDF]
Journal of Commutative Algebra, 2017 Comment: 16 pages; revised and slightly extended ...
V. Kala
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Polynilpotent Multipliers of Finitely Generated Abelian Groups
, 2011 17 ...
Behrooz Mashayekhy, Mohsen Parvizi
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The automorphism group of a finitely generated virtually abelian group
Groups Complexity Cryptology, 2016 AbstractWe describe a practical algorithm to compute the automorphism group of a finitely generated virtually abelian group. As application, we describe the automorphism groups of some small-dimensional crystallographic groups.
B. Eick
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A NOTE ON NIELSEN EQUIVALENCE IN FINITELY GENERATED ABELIAN GROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2011 AbstractNielsen transformations determine the automorphisms of a free group of rank n, and also of a free abelian group of rank n, and furthermore the generating n-tuples of such groups form a single Nielsen equivalence class. For an arbitrary rank n group, the generating n-tuples may fall into several Nielsen classes.
D. Oancea
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Limits of sequences of finitely generated abelian groups [PDF]
Proceedings of the American Mathematical Society, 1961 Paul Hill
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