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pro vyhledávání: '"Kharlampovich, Olga"'
Autor:
Kharlampovich, Olga, Vdovina, Alina
We answer the question asked by Louder, McReynolds and Patel, and prove the following statement. Let L be a RAAG, H a word quasiconvex subgroup of L, then there is a finite dimensional representation of L that separates the subgroup H in the induced
Externí odkaz:
http://arxiv.org/abs/2403.17964
Autor:
Kharlampovich, Olga, Miasnikov, Alexei
We describe groups elementarily equivalent to a free metabelian group with n generators.
Comment: arXiv admin note: substantial text overlap with arXiv:2109.13133
Comment: arXiv admin note: substantial text overlap with arXiv:2109.13133
Externí odkaz:
http://arxiv.org/abs/2309.08483
Autor:
Brown, Keino, Kharlampovich, Olga
We show that for any finitely generated subgroup $H$ of a limit group $L$ there exists a finite-index subgroup $K$ containing $H$, such that $K$ is a subgroup of a group obtained from $H$ by a series of extensions of centralizers and free products wi
Externí odkaz:
http://arxiv.org/abs/2303.03644
Autor:
Kharlampovich, Olga, Sklinos, Rizos
We prove that a random group, in Gromov's density model with $d < 1/16$ satisfies with overwhelming probability a universal-existential first-order sentence $\sigma$ (in the language of groups) if and only if $\sigma$ is true in a nonabelian free gro
Externí odkaz:
http://arxiv.org/abs/2212.11780
Publikováno v:
"Groups and Model Theory, GAGTA Book 2", edited by Kharlampovich and Sklinos, published in 2021 by de Gruyter
In this paper we initiate a study of first-order rich groups, i.e., groups where the first-order logic has the same power as the weak second order logic. Surprisingly, there are quite a lot of finitely generated rich groups, they are somewhere in bet
Externí odkaz:
http://arxiv.org/abs/2109.13133
We prove that if a countable group is elementarily equivalent to a non-abelian free group and all of its abelian subgroups are cyclic, then the group is a union of a chain of regular NTQ groups (i.e., hyperbolic towers).
Comment: Updated referen
Comment: Updated referen
Externí odkaz:
http://arxiv.org/abs/2006.02414
We prove that non-abelian free groups of finite rank at least 3 or of countable rank are not $\forall$-homogeneous. We answer three open questions from Kharlampovich, Myasnikov, and Sklinos regarding whether free groups, finitely generated elementary
Externí odkaz:
http://arxiv.org/abs/2001.09904
Autor:
Kharlampovich, Olga, Weil, Pascal
Publikováno v:
In Fields of Logic and Computation III -- Essays dedicated to Yuri Gurevich on the occasion of his 80th birthday, Lecture Notes in Computer Science 12180, Springer, 2020
The aim of this short note is to provide a proof of the decidability of the generalized membership problem for relatively quasi-convex subgroups of finitely presented relatively hyperbolic groups, under some reasonably mild conditions on the peripher
Externí odkaz:
http://arxiv.org/abs/1908.03525
In this paper we show that Diophantine problem for quadratic equations in Baumslag-Solitar groups $BS(1,k)$ and in wreath products $A \wr \mathbb{Z}$, where $A$ is a finitely generated abelian group and $\mathbb{Z}$ is an infinite cyclic group, is de
Externí odkaz:
http://arxiv.org/abs/1903.10068
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