Results 31 to 40 of about 472 (192)

On almost finitely generated nilpotent groups

open access: yesInternational 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

The inverse theorem for the $U^3$ Gowers uniformity norm on arbitrary finite abelian groups: Fourier-analytic and ergodic approaches

open access: yesDiscrete Analysis, 2023
The inverse theorem for the $U^3$ Gowers uniformity norm on arbitrary finite abelian groups: Fourier-analytic and ergodic approaches, Discrete Analysis 2023:11, 48 pp. Let $G$ be a finite Abelian group and let $f:G\to\mathbb C$.
Asgar Jamneshan, Terence Tao
doaj   +1 more source

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  

Maximal perpendicularity in certain Abelian groups

open access: yesActa Universitatis Sapientiae: Mathematica, 2017
We define perpendicularity in an Abelian group G as a binary relation satisfying certain five axioms. Such a relation is maximal if it is not a subrelation of any other perpendicularity in G.
Mattila Mika   +3 more
doaj   +1 more source

Automorphism Classes of Elements in Finitely Generated Abelian Groups

open access: green, 2011
We will show that every element of a finitely generated abelian group is automorphically equivalent what we will define to be a {\em representative element} in a {\em repeat-free subgroup}, and for finite abelian groups we can count the number of automorphism classes of elements.
Charles F. Rocca
openalex   +4 more sources

On polygonal products of finitely generated abelian groups [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1992
We prove that a polygonal product of polycyclic-by-finite groups amalgamating subgroups, with trivial intersections, is cyclic subgroup separable (hence, it is residually finite) if the amalgamated subgroups are contained in the centres of the vertex groups containing them.
openaire   +1 more source

Polynomial growth harmonic functions on finitely generated abelian groups [PDF]

open access: yesAnnals 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. We develop a geometric analytic proof of the classical Heilbronn theorem and the recent Nayar theorem on polynomial growth harmonic functions on lattices $\mathds{Z}^n$ that does not use
Bobo Hua, Jürgen Jost, Xianqing Li-Jost
openaire   +4 more sources

Note on quasivarieties generated by finite pointed abelian groups

open access: yesOpen 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

The Quest for the Quark‐Gluon Plasma From the Perspective of Dynamical Models of Relativistic Heavy‐Ion Collisions

open access: yesAstronomische Nachrichten, EarlyView.
ABSTRACT The physics of heavy‐ion collisions is one of the most exciting and challenging directions of science for the last four decades. On the theoretical side one deals with a non‐abelian field theory, while on the experimental side today's largest accelerators are needed to enable these studies.
Marcus Bleicher, Elena Bratkovskaya
wiley   +1 more source

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