Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Goffer, Gil"'
We construct novel examples of finitely generated groups that exhibit seemingly-contradicting probabilistic behaviors with respect to Burnside laws. We construct a finitely generated group that satisfies a Burnside law, namely a law of the form $x^n=
Externí odkaz:
http://arxiv.org/abs/2409.09630
We study Frattini subgroups of various generalizations of hyperbolic groups. For any countable group $G$ admitting a general type action on a hyperbolic space $S$, we show that the induced action of the Frattini subgroup $\Phi(G)$ on $S$ has bounded
Externí odkaz:
http://arxiv.org/abs/2402.04592
Autor:
Goffer, Gil, Greenfeld, Be'eri
We show that the semigroup Zariski topology on a group can be strictly coarser than the group Zariski topology on it, answering a question of Elliott, Jonusas, Mesyan, Mitchell, Morayne, and Peresse.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/2312.17727
Autor:
Goffer, Gil, Greenfeld, Be'eri
We prove that there exists a finitely generated group that satisfies a group law with probability 1 but does not satisfy any group law. More precisely, we construct a finitely generated group G in which the probability that a random element chosen un
Externí odkaz:
http://arxiv.org/abs/2306.11204
Let a group $\Gamma$ act on a paracompact, locally compact, Hausdorff space $M$ by homeomorphisms and let $2^M$ denote the set of closed subsets of $M$. We endow $2^M$ with the Chabauty topology, which is compact and admits a natural $\Gamma$-action
Externí odkaz:
http://arxiv.org/abs/2210.16297
Autor:
Goffer, Gil, Greenfeld, Be'eri
Publikováno v:
In Journal of Algebra 1 August 2024 651:111-118
Autor:
Goffer, Gil, Lazarovich, Nir
Using small cancellation methods, we show that the property invariable generation does not pass to finite index subgroups, answering questions of Wiegold and Kantor-Lubotzky-Shalev. We further show that a finitely generated group that is invariably g
Externí odkaz:
http://arxiv.org/abs/2006.05523
Autor:
Goffer, Gil, Lederle, Waltraud
We determine when two almost automorphisms of a regular tree are conjugate. This is done by combining the classification of conjugacy classes in the automorphism group of a level-homogeneous tree by Gawron, Nekrashevych and Sushchansky and the soluti
Externí odkaz:
http://arxiv.org/abs/1911.01974
Autor:
Goffer, Gil, Noskov, Gennady A.
A subset $S$ of a group $G$ invariably generates $G$ if $G$ is generated by $\{ s^g(s) | s\in S\} $ for any choice of $g(s)\in G, s\in S$. In case $G$ is topological one defines similarly the notion of topological invariable generation. A topological
Externí odkaz:
http://arxiv.org/abs/1802.10427
Autor:
Goffer, Gil, Lazarovich, Nir
Publikováno v:
Groups, Geometry, and Dynamics. 16:1267-1288
Using small cancellation methods, we show that the property invariable generation does not pass to finite index subgroups, answering questions of Wiegold and Kantor-Lubotzky-Shalev. We further show that a finitely generated group that is invariably g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a4582b6c498ca8d4d421750c9134dce
https://doi.org/10.4171/ggd/693
https://doi.org/10.4171/ggd/693