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math.GR2024
Profinite rigidity of lamplighter groups
Guy Blachar
We show that the lamplighter groups , where is prime and is a positive integer, are profinitely rigid.
math.RA2024
Rank-stability of polynomial equations
Tomer Bauer, Guy Blachar, Be'eri Greenfeld
Extending the thoroughly studied theory of group stability, we study Ulam stability type problems for associative and Lie algebras; namely, we investigate obstacles to rank-approxi…