Results 1 to 10 of about 83,213 (229)

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
semanticscholar   +6 more sources

Abelian Varieties and Finitely Generated Galois Groups [PDF]

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
semanticscholar   +6 more sources

Polynomial Growth Harmonic Functions on Finitely Generated Abelian Groups [PDF]

Annals of Global Analysis and Geometry, 2013
In the present paper, we develop geometric analytic techniques on Cayley graphs of finitely generated abelian groups to study the polynomial growth harmonic functions.
B Hua, B Hua, B Kleiner, Bobo Hua, C-J Sung, D Burago, DJS Robinson, F Lin, FRK Chung, G Alexopoulos, G Alexopoulos, G Alexopoulos, G Alexopoulos, GF Lawler, H Donnelly, HA Heilbronn, I Holopainen, J Milnor, J Moser, J Wang, Jürgen Jost, L-F Tam, M Gromov, M Suzuki, MS Raghunathan, P Kuchment, P Li, P Li, P Li, P Li, P Li, R Chen, RJ Duffin, ST Yau, ST Yau, SW Kim, SY Cheng, T Coulhon, T Coulhon, T Delmotte, TH Colding, TH Colding, TH Colding, TH Colding, Xianqing Li-Jost, Y Lin, Y Lin, Y Shalom, YH Lee   +48 more
core   +5 more sources

On automorphism groups of Toeplitz subshifts [PDF]

Discrete Analysis, 2017
On automorphism groups of Toeplitz subshifts, Discrete Analysis 2017:11, 19 pp. A discrete dynamical system is a space $X$ with some kind of structure, together with a map $\sigma\colon X\to X$ that preserves the structure.
Sebastian Donoso, Fabien Durand, Alejandro Maass, Samuel Petite   +3 more
doaj   +4 more sources

Algorithmic Methods for Finitely Generated Abelian Groups

Journal of Symbolic Computation, 2001
The main base of the intent to apply (matrix) algorithms for derivation of results on Abelian groups is the fact that if written additively, representation of elements and relations turns to linear matrix and vector algebra of integer elements. The authors prefer to use a different mode of writing.
Henri Cohen, Francisco Diaz y Diaz, Michel Olivier   +2 more
openalex   +4 more sources

Polynilpotent Capability of Finitely Generated Abelian Groups [PDF]

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

Finitely generated nilpotent hc groups are free abelian

Journal of Pure and Applied Algebra, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mathew Timm
openalex   +4 more sources

Finitely generated abelian groups of units [PDF]

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

Finite frattini factors in finitely generated Abelian-by-polycyclic groups [PDF]

Proceedings of the American Mathematical Society, 1973
A criterion for a group to be finite is used to prove that subgroups of finitely generated Abelian-by-polycyclic groups are finite if their Frattini factor groups are finite.
John C. Lennox
  +6 more sources

On abelian subgroups of finitely generated metabelian groups [PDF]

Journal of Group Theory, 2013
Abstract.In this note we introduce the class ...
Vahagn H. Mikaelian, Alexander Olshanskii   +1 more
openalex   +5 more sources