Rigidity theorems establish that P(H) ≅ P(K) implies H ≅ K for group H and semigroup K, with the finite-subset version holding only for additive subgroups of the rationals via a diophantine theorem.
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Power Semigroups and Two Rigidity Theorems for Groups
Rigidity theorems establish that P(H) ≅ P(K) implies H ≅ K for group H and semigroup K, with the finite-subset version holding only for additive subgroups of the rationals via a diophantine theorem.