Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Victor Guba"'
Autor:
Victor Guba
Publikováno v:
Semigroup Forum. 104:320-329
We answer the question by Matt Brin on the structure of diagram groups over semigroup presentation ${\mathcal P}=\langle a,b,c\mid a=bc,b=ca,c=ab\rangle$. In the talk on Oberwolfach workshop, Brin conjectured that the diagram group over $\mathcal P$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cae5ae95546506ed51534df3a9bb3fcc
https://doi.org/10.1007/s00233-021-10229-3
https://doi.org/10.1007/s00233-021-10229-3
Autor:
Victor Guba
Publikováno v:
Communications in Algebra. 49:4699-4711
Let R=K[G] be a group ring of a group G over a field K. The Ore condition says that for any a,b∈R there exist u,v∈R such that au = bv, where u≠0 or v≠0. It always holds whenever G is amenable. Rece...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed1f1f398f5e2b3fef1701a1f5080235
https://doi.org/10.1080/00927872.2021.1927068
https://doi.org/10.1080/00927872.2021.1927068
Autor:
Victor Guba
Publikováno v:
International Journal of Algebra and Computation. 31:969-981
By the density of a finite graph we mean its average vertex degree. For an [Formula: see text]-generated group, the density of its Cayley graph in a given set of generators, is the supremum of densities taken over all its finite subgraphs. It is know
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93453cf02b9cdc0404cc637af103af37
https://doi.org/10.1142/s0218196721500454
https://doi.org/10.1142/s0218196721500454
Autor:
Victor Guba
Publikováno v:
Semigroup Forum. 103:286-290
It is known that if a cancellative monoid M is left amenable then the monoid ring K[M] satisfies the Ore condition, that is, there exist nontrivial common right multiples for the elements of this ring. Donnelly (Semigroup Forum 81:389–392, 2010) sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::328fab5f324bb3ad602a5a872e66c518
https://doi.org/10.1007/s00233-021-10173-2
https://doi.org/10.1007/s00233-021-10173-2
Autor:
Varuzhan Sergeevich Atabekyan, Yurii S Osipov, Igor Geront'evich Lysenok, Alexey Talambutsa, Lev D. Beklemishev, Sergey Goncharov, Dmitrii Valer'evich Treschev, Lev Naumovich Shevrin, Алексей Львович Семeнов, Mati Pentus, Victor Antonovich Sadovnichii, Victor Matveevich Buchstaber, Valery V. Kozlov, Sergei Petrovich Novikov, Alexander A. Razborov, Yurii Leonidovich Ershov, Игорь Геронтьевич Лысeнок, Vladimir V. Podolskii, Aleksei L'vovich Semenov, Victor Guba
Publikováno v:
Uspekhi Matematicheskikh Nauk. 76:191-194
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b66887ecd6a42a975ec619c799b66538
https://doi.org/10.4213/rm9989
https://doi.org/10.4213/rm9989
Autor:
Victor Guba
In this paper we introduce a concept of an evacuation scheme on the Cayley graph of an infinite finitely generated group. This is a collection of infinite simple paths bringing all vertices to infinity. We impose a restriction that every edge can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84378f76fb2d424dfb8a183953ca14ba
Autor:
José Burillo, Victor Guba
Publikováno v:
International Journal of Algebra and Computation. 27:1-21
Let [Formula: see text], [Formula: see text] be the family of generalized Thompson’s groups. Here, [Formula: see text] is the famous Richard Thompson’s group usually denoted by [Formula: see text]. We find the growth rate of the monoid of positiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd41d244e10397243c6f37d460b5c0ba
https://doi.org/10.1142/s0218196717500011
https://doi.org/10.1142/s0218196717500011
Autor:
Victor Guba
Publikováno v:
Communications in Algebra. 36:1988-1997
Let $G$ be a group generated by a finite set $A$. An element $g\in G$ is a strict dead end of depth $k$ (with respect to $A$) if $|g|>|ga_1|>|ga_1a_2|>...>|ga_1a_2... a_k|$ for any $a_1,a_2, ..., a_k\in A^{\pm1}$ such that the word $a_1a_2... a_k$ is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a71a07b5bd9a81a2eda9242d93cab24d
https://doi.org/10.1080/00927870701724243
https://doi.org/10.1080/00927870701724243
Publikováno v:
Commentarii Mathematici Helvetici, Vol. 81, No 4 (2006) pp. 911-929
We give first examples of finitely generated groups having an intermediate, with values in (0,1), Hilbert space compression (which is a numerical parameter measuring the distortion required to embed a metric space into Hilbert space). These groups in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ebf6959aefce148f86e25a599a0d21e
https://doi.org/10.4171/cmh/80
https://doi.org/10.4171/cmh/80
Autor:
Victor Guba
Publikováno v:
Inventiones mathematicae. 163:313-342
We prove that the Dehn function (that is, the smallest isoperimetric function) of the R. Thompson’s group F is quadratic.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ac327d9a7c56edfc07886ca9198c5f0
https://doi.org/10.1007/s00222-005-0462-z
https://doi.org/10.1007/s00222-005-0462-z