Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Rips, Eliyahu"'
We show that the free Burnside groups $B(m,n)$ are infinite for $m\geq 2$ and odd $n\geq 557$, the best currently known lower bound for the exponent. The proof uses iterated small cancellation theory where the induction is based on the nesting depth
Externí odkaz:
http://arxiv.org/abs/2303.15997
Autor:
Gitik, Rita, Rips, Eliyahu
We present examples of closed subsets of a free group such that their product is not closed in the profinite topology. We discuss how to characterize a subset of a free group which is closed in the profinite topology and its product with any finitely
Externí odkaz:
http://arxiv.org/abs/1906.07275
Autor:
Gitik, Rita, Rips, Eliyahu
Let $H$ be a hyperbolic group, $A$ and $B$ be subgroups of $H$, and $gr(H,A,B)$ be the growth function of the double cosets $AhB, h \in H$. We prove that the behavior of $gr(H,A,B)$ splits into two different cases. If $A$ and $B$ are not quasiconvex,
Externí odkaz:
http://arxiv.org/abs/1808.00802
Autor:
Gitik, Rita, Rips, Eliyahu
We give two examples of a finitely generated subgroup of a free group and a subset, closed in the profinite topology of a free group, such that their product is not closed in the profinite topology of a free group.
Externí odkaz:
http://arxiv.org/abs/1709.06542
Autor:
Rips, Eliyahu, Tent, Katrin
We construct sharply 2-transitive groups of characteristic 0 without non-trivial abelian normal subgroup. These groups act sharply 2-trnaisitvely by conjugation on their involutions. This answers a longstanding open question.
Externí odkaz:
http://arxiv.org/abs/1604.00573
We show that any group $G$ is contained in some sharply 2-transitive group $\mathcal{G}$ without a non-trivial abelian normal subgroup. This answers a long-standing open question. The involutions in the groups $\mathcal{G}$ that we construct have no
Externí odkaz:
http://arxiv.org/abs/1406.0382
Autor:
Gitik, Rita, Rips, Eliyahu
It is shown that for any finitely generated subgroups H and K of a free group F, and for any element g in F the double coset HgK is closed in the profinite topology of F.
Comment: This paper was written many years ago, but has never been publish
Comment: This paper was written many years ago, but has never been publish
Externí odkaz:
http://arxiv.org/abs/1306.0033
This is the first of two papers devoted to connections between asymptotic functions of groups and computational complexity. One of the main results of this paper states that if for every $m$ the first $m$ digits of a real number $\alpha\ge 4$ are com
Externí odkaz:
http://arxiv.org/abs/math/9811105
Publikováno v:
Annals of Mathematics, 2002 Sep 01. 156(2), 345-466.
Externí odkaz:
https://www.jstor.org/stable/3597195
Publikováno v:
Transactions of the American Mathematical Society, 1998 Jan 01. 350(1), 321-329.
Externí odkaz:
https://www.jstor.org/stable/117672