Zobrazeno 1 - 10
of 300
pro vyhledávání: '"20K10"'
Autor:
Mikheenko, Mikhail A.
Every abelian (and even every nilpotent) group contains a solution of any finite unimodular system of equations over itself. However, this is not true for infinite systems. We deduced a criterion for a periodic abelian group to contain a solution of
Externí odkaz:
http://arxiv.org/abs/2410.20729
Autor:
Surbhi, Venkataraman, Geetha
In this paper, we investigate certain graphs defined on groups, with a focus on infinite groups. The graphs discussed are the power graph, the enhanced power graph, and the commuting graph whose vertex set is a group $G$. The power graph is a graph i
Externí odkaz:
http://arxiv.org/abs/2410.10401
Autor:
Bunina, Elena
In this paper we study (logical) types and isotypical equivalence of torsion free Abelian groups. We describe all possible types of elements and standard 2-tuples of elements in these groups and classify separable torsion free Abelian groups up to is
Externí odkaz:
http://arxiv.org/abs/2409.07728
In this manuscript we consider a special complex torus, denoted $S_{\Delta_{2k}}$ (for each $k \in \mathbb{N},\, k \geq 1$) and called the Dirac spinor torus. It is an Abelian variety of complex dimension $2^{k}$ whose covering space is the space of
Externí odkaz:
http://arxiv.org/abs/2408.05511
Given a reduced abelian $p$-group, we give an upper bound on the Scott complexity of the group in terms of its Ulm invariants. For limit ordinals, we show that this upper bound is tight. This gives an explicit sequence of such groups with arbitrarily
Externí odkaz:
http://arxiv.org/abs/2407.06940
Autor:
Schultz, Phill
The lattice of ideals of the torsion ideal of the endomorphism ring of an abelian p-group is classified by a system of cardinal invariants.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/2405.16010
Autor:
Izeki, Hiroyasu, Karlsson, Anders
We show that finitely generated groups which are Liouville and without infinite finite-dimensional linear representations must have a global fixed point whenever they act by isometry on a finite-dimensional complete CAT(0)-space. This provides a part
Externí odkaz:
http://arxiv.org/abs/2404.19273
Autor:
Calugareanu, Grigore, Chekhlov, Andrey
As a special case of perspective R-modules, an Abelian goup is called perspective if isomorphic summands have a common complement. In this paper we describe many classes of such groups.
Externí odkaz:
http://arxiv.org/abs/2403.18434
Autor:
Kuanyshov, Nursultan
We define and develop a homotopy invariant notion for the sequential topological complexity of a map $f:X\to Y,$ denoted $TC_{r}(f)$, that interacts with $TC_{r}(X)$ and $TC_{r}(Y)$ in the same way Jamie Scott's topological complexity map $TC(f)$ int
Externí odkaz:
http://arxiv.org/abs/2402.13389
Autor:
Bunina, Elena
In this paper we give invariants that characterize isotypically equivalent Abelian periodic groups. Also, we describe types of standart tuples of elements in these groups. As the particular case we prove that two Abelian $p$-groups with separable red
Externí odkaz:
http://arxiv.org/abs/2402.11261