Results 41 to 50 of about 84,430 (244)

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

open access: yes, 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

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

open access: yes, 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   +13 more
core   +1 more source

Algorithmic Methods for Finitely Generated Abelian Groups

open access: yesJournal 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.
Cohen, Henri   +2 more
openaire   +2 more sources

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

open access: yesInternational 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  

EXTENSIONS OF JOHNSON'S AND MORITA'S HOMOMORPHISMS THAT MAP TO FINITELY GENERATED ABELIAN GROUPS [PDF]

open access: yes, 2009
We extend each higher Johnson homomorphism to a crossed homomorphism from the automorphism group of a finite-rank free group to a finite-rank abelian group. We also extend each Morita homomorphism to a crossed homomorphism from the mapping class group of
M. Day
semanticscholar   +1 more source

Geodesic growth in virtually abelian groups

open access: yes, 2020
We show that the geodesic growth function of any finitely generated virtually abelian group is either polynomial or exponential; and that the geodesic growth series is holonomic, and rational in the polynomial growth case.
Bishop, Alex
core   +1 more source

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

open access: yesMathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

Aggregation and the Structure of Value

open access: yesNoûs, EarlyView.
ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley   +1 more source

Laws and Reasons Why

open access: yesAnalytic Philosophy, EarlyView.
ABSTRACT Laws play some role in explanations: at the very least, they somehow connect what is explained, or the explanandum, to what explains, or the explanans. Thus, thermodynamical laws connect the match's being struck and its lightning, so that the former causes the latter; and laws about set formation connect Socrates' existence with {Socrates}'s ...
Julio De Rizzo
wiley   +1 more source

On properties of (weakly) small groups

open access: yes, 2011
A group is small if it has countably many complete $n$-types over the empty set for each natural number n. More generally, a group $G$ is weakly small if it has countably many complete 1-types over every finite subset of G.
Borovik   +11 more
core   +3 more sources

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