Zobrazeno 1 - 10
of 102
pro vyhledávání: '"ROSTISLAV GRIGORCHUK"'
Publikováno v:
Groups, Complexity, Cryptology, Vol Volume 13, Issue 2 (2021)
For finitely generated subgroups $H$ of a free group $F_m$ of finite rank $m$, we study the language $L_H$ of reduced words that represent $H$ which is a regular language. Using the (extended) core of Schreier graph of $H$, we construct the minimal d
Externí odkaz:
https://doaj.org/article/b27ebad209fb486d816562f01bcc6cea
Autor:
Rostislav Grigorchuk et al.
Publikováno v:
Advances in Group Theory and Applications, Vol 2, Pp 125-142 (2016)
Externí odkaz:
https://doaj.org/article/1b113ab3727c4734b5ae800919a2ea30
Autor:
Rostislav Grigorchuk, Supun Samarakoon
Publikováno v:
Entropy, Vol 23, Iss 2, p 237 (2021)
Fractal groups (also called self-similar groups) is the class of groups discovered by the first author in the 1980s with the purpose of solving some famous problems in mathematics, including the question of raising to von Neumann about non-elementary
Externí odkaz:
https://doaj.org/article/cc846b145b8e46238655432344d3237b
Publikováno v:
Acta Crystallographica Section A Foundations and Advances. 78:371-383
We develop further Cannon's method of cone types for finding the growth function of a group, which can also be used to find the coordination sequences of certain infinite graphs. We then apply this method to compute the growth functions and series of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef542e4f022a658aba8437b3c31db997
https://doi.org/10.1107/s2053273322005058
https://doi.org/10.1107/s2053273322005058
Autor:
ROSTISLAV GRIGORCHUK, DMYTRO SAVCHUK
Publikováno v:
Journal of the Australian Mathematical Society. 114:78-109
The ring$\mathbb Z_{d}$ofd-adic integers has a natural interpretation as the boundary of a rootedd-ary tree$T_{d}$. Endomorphisms of this tree (that is, solenoidal maps) are in one-to-one correspondence with 1-Lipschitz mappings from$\mathbb Z_{d}$to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4698f34aaf227123d3acd4cec26fa28
https://doi.org/10.1017/s1446788722000027
https://doi.org/10.1017/s1446788722000027
Publikováno v:
Izvestiya: Mathematics. 85:1128-1145
The aim of this paper is to describe the structure of the finitely generated subgroups of a family of branch groups, which includes the first Grigorchuk group and the Gupta-Sidki 3-group. This description is made via the notion of block subgroup. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::996c88d935e52de5536b3c0f38183d82
https://doi.org/10.1070/im9101
https://doi.org/10.1070/im9101
Конечно порожденные подгруппы ветвящихся групп и подпрямые произведения минимально бесконечных групп
Publikováno v:
Известия Российской академии наук. Серия математическая. 85:104-125
Целью работы является описание структуры конечно порожденных подгрупп некоторого семейства ветвящихся групп, содержащего группу Григ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18cbd936bba15162b17770be3c0c1978
https://doi.org/10.4213/im9101
https://doi.org/10.4213/im9101
Autor:
Rostislav Grigorchuk
Publikováno v:
Bulletin of the American Mathematical Society. 57:325-337
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63f7e062929e7cdc29db94dfac11f2d6
https://doi.org/10.1090/bull/1674
https://doi.org/10.1090/bull/1674
We are interested in various aspects of spectral rigidity of Cayley and Schreier graphs of finitely generated groups. For each pair of integers $d\geq 2$ and $m \ge 1$, we consider an uncountable family of groups of automorphisms of the rooted $d$-re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dde8d4a20c1161f47f5e8a3af7a89d9a
http://arxiv.org/abs/2007.03309
http://arxiv.org/abs/2007.03309
Autor:
Rostislav Grigorchuk, Artem Dudko
Publikováno v:
Israel Journal of Mathematics
We study the question of whether or not it is possible to determine a finitely generated group G up to some notion of equivalence from the spectrum sp(G) of G. We show that the answer is “No” in a strong sense. As a first example we present the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fb3bd39e902c465410fffb2d559fe05