1 citations · 2 across the 7 of their papers we have counts for
8 papers
Conjugator length in finitely generated groups
G. Goffer, M. Mihaila, D. Osin
We describe all functions that can be realized, up to the standard equivalence, as conjugator length functions of finitely generated groups. Furt…
Compact Invariant Random Subgroups
Tal Cohen, Helge Glöckner, Gil Goffer +1
We study ergodic invariant random subgroups that give full measure to the subset of compact subgroups. We show that in real Lie groups, compactly generated -adic Lie groups, loc…
Asymptotic Burnside laws
Gil Goffer, Be'eri Greenfeld, Alexander Yu. Olshanskii
We construct novel examples of finitely generated groups that exhibit seemingly-contradicting probabilistic behaviors with respect to Burnside laws. We construct a finitely generat…
Frattini subgroups of hyperbolic-like groups
Gil Goffer, Denis Osin, Ekaterina Rybak
We study Frattini subgroups of various generalizations of hyperbolic groups. For any countable group admitting a general type action on a hyperbolic space , we show that the…
A note on the Zariski topology on groups
Gil Goffer, Be'eri Greenfeld
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, Mo…
Probabilistic Burnside groups
Gil Goffer, Be'eri Greenfeld
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 gene…
Invariable generation does not pass to finite index subgroups
Gil Goffer, Nir Lazarovich
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…
A few remarks on invariable generation in infinite groups
Gil Goffer, Gennady A. Noskov
A subset of a group invariably generates if is generated by for any choice of . In case is topological one defines si…