Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Rizos Sklinos"'
Autor:
Chloé Perin, Rizos Sklinos
Publikováno v:
Journal of the London Mathematical Society. 102:796-817
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0e3ce33f9c2c2a45d26732aa304a9b9
https://doi.org/10.1112/jlms.12338
https://doi.org/10.1112/jlms.12338
Publikováno v:
Journal of Algebra. 545:300-323
We modify the notion of a Fraisse 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 Fraisse limits. Furthermore, we rediscover Lyn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07674930a6a80210fc90c0845ec1e3cb
https://doi.org/10.1016/j.jalgebra.2019.08.003
https://doi.org/10.1016/j.jalgebra.2019.08.003
Autor:
Rizos Sklinos
Publikováno v:
Groups and Model Theory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbe053c34a39922a8c9a8232cb5d0ca3
https://doi.org/10.1515/9783110719710-002
https://doi.org/10.1515/9783110719710-002
View the abstract.
Autor:
Olga Kharlampovich, Rizos Sklinos
This monograph provides an overview of developments in group theory motivated by model theory by key international researchers in the field. Topics covered include: stable groups and generalizations, model theory of nonabelian free groups and of rigi
Publikováno v:
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, American Mathematical Society, 2019, 371 (5), pp.3397-3416. ⟨10.1090/tran/7392⟩
2017-10. 19 pages. 2017
Transactions of the American Mathematical Society, 2019, 371 (5), pp.3397-3416. ⟨10.1090/tran/7392⟩
Transactions of the American Mathematical Society, American Mathematical Society, 2019, 371 (5), pp.3397-3416. ⟨10.1090/tran/7392⟩
2017-10. 19 pages. 2017
Transactions of the American Mathematical Society, 2019, 371 (5), pp.3397-3416. ⟨10.1090/tran/7392⟩
We study to what extent torsion-free (Gromov)-hyperbolic groups are elementarily equivalent to their finite index subgroups. In particular, we prove that a hyperbolic limit group either is a free product of cyclic groups and surface groups, or admits
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::184e03a645c04347469ac39501a1c958
https://hal.archives-ouvertes.fr/hal-01454986
https://hal.archives-ouvertes.fr/hal-01454986
Autor:
Chloé Perin, Rizos Sklinos
Publikováno v:
Mathematical Logic Quarterly. 62:88-93
In this short note we prove that a definable set $X$ over $\mathbb F_n$ is superstable only if $X(\mathbb F_n)=X(\mathbb F_{\omega})$.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8168a78cbd64c90653bec8cda4f14387
https://doi.org/10.1002/malq.201500049
https://doi.org/10.1002/malq.201500049
Autor:
Chloé Perin, Rizos Sklinos
Publikováno v:
Journal of the European Mathematical Society. 18:1983-2017
We give a description of the model theoretic relation of forking independence in terms of the notion of JSJ decompositions in non abelian free groups.
Comment: 33 pages, 6 figures
Comment: 33 pages, 6 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba112be387ed5678a65e96dc832694ab
https://doi.org/10.4171/jems/636
https://doi.org/10.4171/jems/636
We give some lower bounds on the Shelah rank of varieties in the free group whose coordinate groups are hyperbolic towers.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10a6ea8d94a0e72c51458324ce3ff52e
Autor:
Rizos Sklinos, Anand Pillay
We prove that the common theory of nonabelian free groups has the dimensional order property, or DOP, implying, for example, that there is no reasonable structure theorem for $\aleph_1$-saturated models of this theory.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4c0b83ae7dccf89125b41c4a824ce32