Results 31 to 40 of about 472 (192)
On almost finitely generated nilpotent groups
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
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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
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The n-ary adding machine and solvable groups [PDF]
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
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
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Lattice-ordered abelian groups finitely generated as semirings [PDF]
Comment: 16 pages; revised and slightly extended ...
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Automorphism Classes of Elements in Finitely Generated Abelian Groups
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
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On polygonal products of finitely generated abelian groups [PDF]
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.
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Polynomial growth harmonic functions on finitely generated abelian groups [PDF]
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
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Note on quasivarieties generated by finite pointed abelian groups
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
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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
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