Zobrazeno 1 - 10
of 505
pro vyhledávání: '"20F18"'
Autor:
Liu, Yuan
We prove that any nilpotent regular covering over a compact K\"ahler surface is holomorphically convex if it does not have two ends. Furthermore, we show that the Malcev covering of any compact K\"ahler manifold has at most one end.
Comment: Com
Comment: Com
Externí odkaz:
http://arxiv.org/abs/2411.15744
Autor:
Klukowski, Adam
We prove the Congruence Subgroup Property for two families of subgroups of Mapping Class Groups of finite-type surfaces. The first one is related to nilpotent quotients of the fundamental group and Johnson filtration, and along the way we give an ele
Externí odkaz:
http://arxiv.org/abs/2411.06867
Autor:
d'Elbée, Christian
We continue our study of the Wilson conjecture for $\omega$-categorical Lie algebras and prove that $\omega$-categorical $4$-Engel Lie algebras of characteristic $3$ are nilpotent. We develop a set of tools to adapt in the definable context some clas
Externí odkaz:
http://arxiv.org/abs/2411.00667
Autor:
d'Elbée, Christian
We prove a version of the Wilson conjecture for $\omega$-categorical $3$-Engel Lie algebras over a field of characteristic $5$: every $\omega$-categorical Lie algebra over $\mathbb{F}_5$ which satisfies the identity $[x,y^3] = 0$ is nilpotent. We als
Externí odkaz:
http://arxiv.org/abs/2411.00669
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:
Smoktunowicz, Agata
Let $p>3$ be a prime number and let $A$ be a brace whose additive group is a direct sum of cyclic groups of cardinalities larger than $p^{\alpha }$ for some $\alpha $. Suppose that either (i) $A^{\lfloor{\frac {p-1}4}\rfloor}\subseteq pA$ or that (ii
Externí odkaz:
http://arxiv.org/abs/2410.20440
Autor:
Fisher, Sam P, Klinge, Kevin
We give a description of the Linnell division ring of a countable residually (poly-$\mathbb Z$ virtually nilpotent) (RPVN) group in terms of a generalised Novikov ring, and show that vanishing top-degree cohomology of a finite type group $G$ with coe
Externí odkaz:
http://arxiv.org/abs/2410.08153
Autor:
Smoktunowicz, Agata
Let A be a brace of cardinality $p^{n}$ for some prime number $p$. Suppose that either (i) the additive group of brace $A$ has rank smaller than $p-3$, or (ii) $A^{\frac {p-1}2}\subseteq pA$ or (iii) $p^{i}A$ is an ideal in in $A$ for each $i$. It is
Externí odkaz:
http://arxiv.org/abs/2410.05924
Autor:
Deloup, Florian L.
It is known that an abelian group $A$ and a $2$-cocycle $c:A \times A \to C$ yield a group ${\mathscr{H}}(A,C,c)$ which we call a Heisenberg group. This group, a central extension of $A$, is the archetype of a class~$2$ nilpotent group. In this note,
Externí odkaz:
http://arxiv.org/abs/2409.03399
Autor:
Fisher, Nate
In this paper, we study characteristics of horofunction boundaries of Carnot groups. In particular, we show that for Carnot groups, i.e., stratified nilpotent Lie groups equipped with certain left-invariant homogeneous metrics, all horofunctions are
Externí odkaz:
http://arxiv.org/abs/2408.06510