Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Sapir, M. V."'
Autor:
Olshanskii, A. Yu., Sapir, M. V.
We construct and study finitely presented groups with quadratic Dehn function (QD-groups) and present the following applications of the method developed in our recent papers. (1) The isomorphism problem is undecidable in the class of QD-groups. (2) F
Externí odkaz:
http://arxiv.org/abs/2012.10417
Autor:
Olshanskii, A. Yu., Sapir, M. V.
We prove that for every $r>0$ if a non-positively curved $(p,q)$-map $M$ contains no flat submaps of radius $r$, then the area of $M$ does not exceed $Crn$ for some constant $C$. This strengthens a theorem of Ivanov and Schupp. We show that an infini
Externí odkaz:
http://arxiv.org/abs/1702.08205
Autor:
Olshanskii, A. Yu., Sapir, M. V.
A $k$-free like group is a $k$-generated group $G$ with a sequence of $k$-element generating sets $Z_n$ such that the girth of $G$ relative to $Z_n$ is unbounded and the Cheeger constant of $G$ relative to $Z_n$ is bounded away from 0. By a recent re
Externí odkaz:
http://arxiv.org/abs/0811.1607
Autor:
Sapir, M. V.
This is a survey of some problems in geometric group theory which I find interesting. The problems are from different areas of group theory. Each section is devoted to problems in one area. It contains an introduction where I give some necessary defi
Externí odkaz:
http://arxiv.org/abs/0704.2899
Autor:
Ol'shanskii, A. Yu., Sapir, M. V.
We construct a 2-generated 2-related group without non-trivial finite factors. That answers a question of J. Button.
Comment: 3 pages
Comment: 3 pages
Externí odkaz:
http://arxiv.org/abs/0704.2897
We call a finitely generated group lacunary hyperbolic if one of its asymptotic cones is an R-tree. We characterize lacunary hyperbolic groups as direct limits of Gromov hyperbolic groups satisfying certain restrictions on the hyperbolicity constants
Externí odkaz:
http://arxiv.org/abs/math/0701365
Autor:
Olshanskii, A. Yu., Sapir, M. V.
We give an example of a finitely presented group $G$ with two non-$\pi_1$-equivalent asymptotic cones.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/math/0504350
Autor:
Olshanskii, A. Yu., Sapir, M. V.
We prove that every countable group with solvable power problem embeds into a finitely presented 2-generated group with solvable power and conjugacy problems.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/math/0405337
Autor:
Guba, V. S., Sapir, M. V.
We show that diagram groups can be viewed as fundamental groups of spaces of positive paths on directed 2-complexes (these spaces of paths turn out to be classifying spaces). Thus diagram groups are analogs of second homotopy groups, although diagram
Externí odkaz:
http://arxiv.org/abs/math/0301225
Autor:
Olshanskii, A. Yu., Sapir, M. V.
For every finitely generated recursively presented group G we construct a finitely presented group H containing G such that G is (Frattini) embedded into H and the group H has solvable conjugacy problem if and only if G has solvable conjugacy problem
Externí odkaz:
http://arxiv.org/abs/math/0212227