Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Sklinos, Rizos"'
Autor:
Paolini, Gianluca, Sklinos, Rizos
We prove that the irreducible affine Coxeter groups are first-order rigid and deduce from this that they are profinitely rigid in the absolute sense. We then show that the first-order theory of any irreducible affine Coxeter group does not have a pri
Externí odkaz:
http://arxiv.org/abs/2407.01141
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
Autor:
Müller, Isabel1 (AUTHOR), Sklinos, Rizos2 (AUTHOR)
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 6/24/2024, Vol. 11, p254-264. 11p.
Autor:
Sklinos, Rizos
We prove that no infinite field is interpretable in the first-order theory of nonabelian free groups. We also obtain a characterization of Abelian groups interpretable in this theory.
Comment: 60 pages, version accepted in the Proceedings of the
Comment: 60 pages, version accepted in the Proceedings of the
Externí odkaz:
http://arxiv.org/abs/2012.14468
This paper is devoted to the first-order theory of torsion-free hyperbolic groups. One of its purposes is to review some results and to provide precise and correct statements and definitions, as well as some proofs and new results. A key concept is t
Externí odkaz:
http://arxiv.org/abs/2007.14148
We give some lower bounds on the Shelah rank of varieties in the free group whose coordinate groups are hyperbolic towers.
Externí odkaz:
http://arxiv.org/abs/1812.04468
Akademický článek
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We modify the notion of a Fra\"iss\'e class and show that various interesting classes of groups, notably the class of nonabelian limit groups and the class of finitely generated elementary free groups, admit Fra\"iss\'e limits. Furthermore, we redisc
Externí odkaz:
http://arxiv.org/abs/1807.08131
Autor:
Perin, Chloé, Sklinos, Rizos
We give a complete characterization of the forking independence relation over any set of parameters in the free groups of finite rank, in terms of the $JSJ$ decompositions relative to those parameters.
Comment: 23 pages. In the updated version,
Comment: 23 pages. In the updated version,
Externí odkaz:
http://arxiv.org/abs/1801.07908
Autor:
Müller, Isabel, Sklinos, Rizos
We introduce a combinatorial criterion for verifying whether a formula is not the conjunction of an equation and a co-equation. Using this, we give a proof for the nonequationality of the free group. Furthermore, we generalize the latter result to th
Externí odkaz:
http://arxiv.org/abs/1703.04169