The automorphism group of the power semigroup P(H) of any numerical semigroup H is trivial.
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3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
The finitary power semigroup of a numerical semigroup S has only the identity automorphism unless S contains all integers from some k onward, in which case its automorphism group is generated by the identity and the involution X maps to max X minus X plus min X.
A survey of the arithmetic properties of power monoids and their role in factorization theory for non-cancellative and non-commutative monoids.
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On the automorphisms of the power semigroups of a numerical semigroup
The automorphism group of the power semigroup P(H) of any numerical semigroup H is trivial.
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On automorphism groups of power semigroups over numerical semigroups or over numerical monoids
The finitary power semigroup of a numerical semigroup S has only the identity automorphism unless S contains all integers from some k onward, in which case its automorphism group is generated by the identity and the involution X maps to max X minus X plus min X.
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Power monoids and their arithmetic: a survey
A survey of the arithmetic properties of power monoids and their role in factorization theory for non-cancellative and non-commutative monoids.