Results 51 to 60 of about 83,213 (229)

An Outer Commutator Multiplier and Capability of Finitely Generated Abelian Groups [PDF]

, 2010
We present an explicit structure for the Baer invariant of a finitely generated abelian group with respect to the variety [𝔑 c 1 , 𝔑 c 2 ], for all c 2 ≤ c 1 ≤ 2c 2. As a consequence, we determine necessary and sufficient conditions for such groups to be
M. Parvizi, Behrooz Mashayekhy
semanticscholar   +1 more source

On structure analysis of finitely generated abelian groups

World Journal of Advanced Research and Reviews, 2022
In this paper we give an overview of the structural analysis of finitely generated abelian groups and modules. We give an overview of recent results on the structure theory of these objects in various situations, in particular in the case of torsionfree groups of infinite rank. We also mention several open problems.
openaire   +1 more source

On almost finitely generated nilpotent groups

International Journal of Mathematics and Mathematical Sciences, 1996
A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p.
Peter Hilton, Robert Militello
doaj   +1 more source

ABELIAN $n$ -DIVISION FIELDS OF ELLIPTIC CURVES AND BRAUER GROUPS OF PRODUCT KUMMER & ABELIAN SURFACES

Forum of Mathematics, Sigma, 2017
Let $Y$ be a principal homogeneous space of an abelian surface, or a K3 surface, over a finitely generated extension of
ANTHONY VÁRILLY-ALVARADO, BIANCA VIRAY
doaj   +1 more source

Limit groups and groups acting freely on R^n-trees

, 2004
We give a simple proof of the finite presentation of Sela's limit groups by using free actions on R^n-trees. We first prove that Sela's limit groups do have a free action on an R^n-tree.
Bass, Bourbaki, Brown, Chiswell, Chiswell, Gaglione, Gaglione, Kharlampovich, Kharlampovich, Lyndon, Paulin, Pfander, Urbański, Vincent Guirardel   +13 more
core   +1 more source

Rigidity of graph products of abelian groups

, 2007
We show that if $G$ is a group and $G$ has a graph-product decomposition with finitely-generated abelian vertex groups, then $G$ has two canonical decompositions as a graph product of groups: a unique decomposition in which each vertex group is a ...
Gutierrez, Mauricio, Piggott, Adam
core   +1 more source

The n-ary adding machine and solvable groups [PDF]

International Journal of Group Theory, 2013
We describe under a various conditions abelian subgroups of the automorphism group $Aut(T_n)$ of the regular $n$-ary tree $T_n$, which are normalized by the $n$-ary adding machine $tau=(e,dots, e,tau)sigma_tau$ where $sigma_tau$ is the $n$-cycle $(0, 1 ...
Josimar Da Silva Rocha, Said Sidki
doaj  

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Note on quasivarieties generated by finite pointed abelian groups

Open Mathematics
We prove that a finite pointed abelian group generates a finitely axiomatizable variety that has a finite quasivariety lattice. As a consequence, we obtain that a quasivariety generated by a finite pointed abelian group has a finite basis of quasi ...
Basheyeva Ainur, Lutsak Svetlana
doaj   +1 more source

On the section conjecture over fields of finite type

Mathematische Nachrichten, EarlyView.
Abstract Assume that the section conjecture holds over number fields. We prove then that it holds for a broad class of curves defined over finitely generated extensions of Q$\mathbb {Q}$. This class contains every projective, hyperelliptic curve, every hyperbolic, affine curve of genus ≤2$\le 2$, and a basis of open subsets of any curve.
Giulio Bresciani
wiley   +1 more source