Results 11 to 20 of about 472 (192)

Multiple Holomorphs of Finitely Generated Abelian Groups [PDF]

Transactions of the American Mathematical Society, 1951
The object of this paper is to determine all cases in which two or more finitely generated abelian groups have the same holomorph(l). Let G and G' be finitely generated abelian groups and let H be the holomorph of G. Then it will be shown that H is the holomorph of G' if and only if G' is an invariant maximal-abelian subgroup of H isomorphic to G.
W. H. Mills
  +5 more sources

On free products of finitely generated abelian groups [PDF]

Transactions of the American Mathematical Society, 1974
Anthony Gaglione
  +5 more sources

Polynilpotent Capability of Finitely Generated Abelian Groups [PDF]

Journal of Advanced Research in Pure Mathematics, 2010
6 ...
Mashayekhy
  +7 more sources

Limits of sequences of finitely generated abelian groups [PDF]

Proceedings of the American Mathematical Society, 1961
Paul Hill
openalex   +3 more sources

The general product of two finitely generated abelian groups [PDF]

Proceedings of the American Mathematical Society, 1969
Eugene Schenkman
  +4 more sources

Algorithmic Methods for Finitely Generated Abelian Groups

Journal of Symbolic Computation, 2001
We describe algorithmic tools to compute with exact sequences of Abelian groups. Although simple in nature, these are essential for a number of applications such as the determination of the structure of (ZK/m)*for an ideal m of a number field K, of ray class groups of number fields, and of conductors of the corresponding Abelian extensions.
Henri Cohen, Francisco Diaz y Diaz, Michel Olivier   +2 more
openalex   +3 more sources

Abelian Varieties and Finitely Generated Galois Groups

Contemporary mathematics, 2019
This paper surveys the methods that have been used to attack the conjecture, still open, that an abelian variety over a characteristic $0$ field with finitely generated Galois group is always of infinite rank.
Bo‐Hae Im, Michael Larsen
openalex   +5 more sources

Finitely generated abelian groups of units [PDF]

Journal of the London Mathematical Society, 2019
28 ...
Ilaria Del Corso
openalex   +6 more sources

Finitely generated nilpotent hc groups are free abelian

Journal of Pure and Applied Algebra, 1994
AbstractA group G is hc if and only if every finite index subgroup of G is isomorphic to G. If G is finitely generated, nilpotent, and hc, then G is free abelian with rank equal to the minimal number of generators of G. A topological corollary is stated.
Mathew Timm
openalex   +3 more sources

Polynilpotent Multipliers of Finitely Generated Abelian Groups

, 2011
17 ...
Behrooz Mashayekhy, Mohsen Parvizi
openalex   +4 more sources