Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Denis Serbin"'
Publikováno v:
International Journal of Algebra and Computation. 31:1663-1690
In [A.-P. Grecianu, A. Kvaschuk, A. G. Myasnikov and D. Serbin, Groups acting on hyperbolic [Formula: see text]-metric spaces, Int. J. Algebra Comput. 25(6) (2015) 977–1042], the authors initiated a systematic study of hyperbolic [Formula: see text
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::213d1934c9d2c5438192a4c1d5cfc32b
https://doi.org/10.1142/s0218196721500612
https://doi.org/10.1142/s0218196721500612
In this paper we consider the {\em conjugacy stability} property of subgroups and provide effective procedures to solve the problem in several classes of groups. In particular, we start with free groups, that is, we give an effective procedure to fin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74e989bac68bc6d67ed344e2e0d961b1
Publikováno v:
International Journal of Algebra and Computation. 25:977-1042
In this paper we study group actions on hyperbolic Λ-metric spaces, where Λ is an ordered abelian group. Λ-metric spaces were first introduced by Morgan and Shalen in their study of hyperbolic structures and then Chiswell, following Gromov's ideas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f39a51f1abbe743325f6c7af137c12af
https://doi.org/10.1142/s0218196715500289
https://doi.org/10.1142/s0218196715500289
Autor:
Andrei Malyutin, Ecaterina Sava-Huss, Maura Salvatori, Denis Serbin, Tullio Ceccherini-Silberstein, Tatiana Nagnibeda
Publikováno v:
Groups, Graphs and Random Walks
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea74bee6093e560bc137fdab604ad2f1
https://doi.org/10.1017/9781316576571.015
https://doi.org/10.1017/9781316576571.015
Autor:
Denis Serbin, Andrey Nikolaev
Publikováno v:
Journal of Algebra. 370:410-444
Groups acting freely on Z n -trees ( Z n -free groups) play a key role in the study of non-archimedean group actions. Following Stallingsʼ ideas, we develop graph-theoretic techniques to investigate subgroup structure of Z n -free groups. As an imme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60ec396e49abe47760bebf7b8b7ca763
https://doi.org/10.1016/j.jalgebra.2012.07.038
https://doi.org/10.1016/j.jalgebra.2012.07.038
Publikováno v:
Transactions of the American Mathematical Society. 364:2847-2882
This is the first paper in a series of three where we take on the unified theory of non-Archimedean group actions, length functions and infinite words. Our main goal is to show that group actions on Zn-trees give one a powerful tool to study groups.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7460b5889fbf465c266610890e2a4d90
https://doi.org/10.1090/s0002-9947-2012-05376-1
https://doi.org/10.1090/s0002-9947-2012-05376-1
Autor:
Denis Serbin, Andrey Nikolaev
Publikováno v:
International Journal of Algebra and Computation. 21:651-673
Using graph-theoretic techniques for f.g. subgroups of $F^{\mathbb{Z}[t]}$ we provide a criterion for a f.g. subgroup of a f.g. fully residually free group to be of finite index. Moreover, we show that this criterion can be checked effectively. Also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a53ce4665f5f7ea7399dbf2ec27445d0
https://doi.org/10.1142/s0218196711006388
https://doi.org/10.1142/s0218196711006388
Publikováno v:
Algebra and Logic. 48:193-213
We study groups having the big powers property BP. It is proved that if a pregroup satisfies some natural axioms, then its universal group has this property. In particular, fundamental groups of some graphs of groups have the big powers property if B
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fbc99236de7a835623f96eec0226736
https://doi.org/10.1007/s10469-009-9053-1
https://doi.org/10.1007/s10469-009-9053-1
Publikováno v:
International Journal of Algebra and Computation. 17:1-26
In this paper we discuss a general approach to positive theories of groups. As an application we get a robust description of positive theories of groups with regular free Lyndon length function. Our approach combines techniques of infinite words (see
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::daedc0368f9971ed611e58e814c43b68
https://doi.org/10.1142/s0218196707003330
https://doi.org/10.1142/s0218196707003330
Publikováno v:
International Journal of Algebra and Computation. 16:689-737
Let F = F(X) be a free group with basis X and ℤ[t] be a ring of polynomials with integer coefficients in t. In this paper we develop a theory of (ℤ[t],X)-graphs — a powerful tool in studying finitely generated fully residually free (limit) grou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e31797f46cf7e4aefba94c8f68188812
https://doi.org/10.1142/s0218196706003141
https://doi.org/10.1142/s0218196706003141