The automorphism group of the power semigroup P(H) of any numerical semigroup H is trivial.
Rago,The automorphism group of reduced power monoids of finite abelian groups, preprint (arXiv:2510.17533)
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
verdicts
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.
citing papers explorer
-
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.
-
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.
-
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.