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math.GR2023
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…
math.GR2023★ 1 cited
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…