Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Goulnara Arzhantseva"'
Publikováno v:
Annales Mathématiques Blaise Pascal. 27:125-130
Let R be a class of groups closed under taking semidirect products with finite kernel and fully residually R-groups. We prove that R contains all R-by-{finitely generated residually finite} groups. It follows that a semidirect product of a finitely g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed5575116e93432ffff0dc60cc07e49b
https://doi.org/10.5802/ambp.386
https://doi.org/10.5802/ambp.386
Publikováno v:
International Journal of Algebra and Computation. 29:343-355
We show that the unrestricted wreath product of a sofic group by an amenable group is sofic. We use this result to present an alternative proof of the known fact that any group extension with sofic kernel and amenable quotient is again a sofic group.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1696983885b6bf4fd73301e669732a42
https://doi.org/10.1142/s021819671950005x
https://doi.org/10.1142/s021819671950005x
Autor:
Goulnara Arzhantseva, Liviu Paunescu
Publikováno v:
Journal of Algebra. 516:329-351
We introduce notions of a constraint metric approximation and of a constraint stability of a metric approximation. This is done in the language of group equations with coefficients. We give an example of a group which is not constraintly sofic. In bu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03cc2a61ff074b833bdfb57fd3cfa99c
https://doi.org/10.1016/j.jalgebra.2018.09.007
https://doi.org/10.1016/j.jalgebra.2018.09.007
Autor:
Goulnara Arzhantseva, Cornelia Druţu
Publikováno v:
Canadian Journal of Mathematics. 71(5)
We study the geometry of infinitely presented groups satisfying the small cancellation condition $C^{\prime }(1/8)$, and introduce a standard decomposition (called the criss-cross decomposition) for the elements of such groups. Our method yields a di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8b03da2c52bcf5dcdc36006897f0916
http://ora.ox.ac.uk/objects/uuid:
http://ora.ox.ac.uk/objects/uuid:
Autor:
Liviu Paunescu, Goulnara Arzhantseva
Publikováno v:
Transactions of the American Mathematical Society. 369:2285-2310
We introduce and systematically study linear sofic groups and linear sofic algebras. This generalizes amenable and LEF groups and algebras. We prove that a group is linear sofic if and only if its group algebra is linear sofic. We show that linear so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e579470386c0bba8a13d3cf2f7691435
https://doi.org/10.1090/tran/6706
https://doi.org/10.1090/tran/6706
Let $G$ be a group acting properly by isometries and with a strongly contracting element on a geodesic metric space. Let $N$ be an infinite normal subgroup of $G$, and let $\delta_N$ and $\delta_G$ be the growth rates of $N$ and $G$ with respect to t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7736c65cbdf77444b6c4cd8a0f66410
http://arxiv.org/abs/1803.05782
http://arxiv.org/abs/1803.05782
Publikováno v:
Algebr. Geom. Topol. 18, no. 1 (2018), 493-524
We give a characterization for asymptotic dimension growth. We apply it to CAT(0) cube complexes of finite dimension, giving an alternative proof of N. Wright's result on their finite asymptotic dimension. We also apply our new characterization to ge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53791031652738c3376e2d0b3c26cbb1
https://eprints.soton.ac.uk/404098/
https://eprints.soton.ac.uk/404098/
We use the interplay between combinatorial and coarse geometric versions of negative curvature to investigate the geometry of infinitely presented graphical $Gr'(1/6)$ small cancellation groups. In particular, we characterize their 'contracting geode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d49f0a58f1970c92008ce7b498659c24
https://phaidra.univie.ac.at/o:761714
https://phaidra.univie.ac.at/o:761714
Autor:
Liviu Paunescu, Goulnara Arzhantseva
Publikováno v:
Journal of Functional Analysis. 269:745-757
We prove that the commutator is stable in permutations endowed with the Hamming distance, that is, two permutations that almost commute are near two commuting permutations. Our result extends to $k$-tuples of almost commuting permutations, for any gi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81733134ba7817965c8e7b0dcaf5063a
https://doi.org/10.1016/j.jfa.2015.02.013
https://doi.org/10.1016/j.jfa.2015.02.013
Autor:
Damian Osajda, Goulnara Arzhantseva
Publikováno v:
Journal of Topology and Analysis. :389-406
We prove the Haagerup property (= Gromov's a-T-menability) for finitely generated groups defined by infinite presentations satisfying the C'(1/6)-small cancellation condition. We deduce that these groups are coarsely embeddable into a Hilbert space a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::43a38668c9a25c9749a9aea37c44f58e
https://doi.org/10.1142/s1793525315500144
https://doi.org/10.1142/s1793525315500144