Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Ivanov, Sergei V."'
Autor:
Ivanov, Sergei V.
Let $H, K$ be two finitely generated subgroups of a free group, let $\langle H, K \rangle$ denote the subgroup generated by $H, K$, called the join of $H, K$, and let neither of $H$, $K$ have finite index in $\langle H, K \rangle$. We prove the exist
Externí odkaz:
http://arxiv.org/abs/1608.00617
Autor:
Ivanov, Sergei V.
We study the intersection of finitely generated subgroups of free groups by utilizing the method of linear programming. We prove that if $H_1$ is a finitely generated subgroup of a free group $F$, then the WN-coefficient $\sigma(H_1)$ of $H_1$ is rat
Externí odkaz:
http://arxiv.org/abs/1607.08303
Autor:
Cummins, Desmond F., Ivanov, Sergei V.
We prove that, for every integer $n \ge 2$, a finite or infinite countable group $G$ can be embedded into a 2-generated group $H$ in such a way that the solvability of quadratic equations of length at most $n$ is preserved, i.e., every quadratic equa
Externí odkaz:
http://arxiv.org/abs/1607.06784
Autor:
Ivanov, Sergei V.
We study graphs of (generalized) joins and intersections of finitely generated subgroups of a free group. We show how to disprove a lemma of Imrich and M\"uller on these graphs and how to repair this lemma.
Comment: 14 pages, 4 figures
Comment: 14 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/1607.04890
Autor:
Ivanov, Sergei V.
A conjecture of Imrich and M\"uller on rank of the intersection of subgroups of free groups is disproved.
Comment: 4 pages, 1 figure
Comment: 4 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/1607.04885
Autor:
Ivanov, Sergei V.
We study the intersection of finitely generated factor-free subgroups of free products of groups by utilizing the method of linear programming. For example, we prove that if $H_1$ is a finitely generated factor-free noncyclic subgroup of the free pro
Externí odkaz:
http://arxiv.org/abs/1607.03052
Autor:
Ivanov, Sergei V.
A conjecture of Dicks and the author on rank of the intersection of factor-free subgroups in free products of groups is proved for the case of left ordered groups.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/1607.03010
Autor:
Ivanov, Sergei V.
It is shown that the original Andrews--Curtis conjecture on balanced presentations of the trivial group is equivalent to its "cyclic" version in which, in place of arbitrary conjugations, one can use only cyclic permutations. This, in particular, pro
Externí odkaz:
http://arxiv.org/abs/1606.08196
Autor:
Ivanov, Sergei V.
We introduce and study the bounded word problem and the precise word problem for groups given by means of generators and defining relations. For example, for every finitely presented group, the bounded word problem is in NP, i.e., it can be solved in
Externí odkaz:
http://arxiv.org/abs/1606.08036
Autor:
Uspenskiy, Yury P.1,2, Ivanov, Sergei V.1,2, Krasichkov, Alexander S.3, Galagudza, Michael M.4,5 galagudza_mm@almazovcentre.ru, Fominykh, Yulia A.1,2
Publikováno v:
Gastroenterology Insights. Mar2023, Vol. 14 Issue 1, p27-36. 10p. 1 Diagram, 4 Charts, 1 Graph.