On the genus of a quotient of a numerical semigroup

Author(s)
Adeniran, Ayomikun; Butler, Steve; Defant, Colin; Gao, Yibo; Harris, Pamela E; ... Show more
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Abstract
Abstract We find a relation between the genus of a quotient of a numerical semigroup S and the genus of S itself. We use this identity to compute the genus of a quotient of S when S has embedding dimension 2. We also exhibit identities relating the Frobenius numbers and the genus of quotients of numerical semigroups that are generated by certain types of arithmetic progressions.
Date issued
2019-01-03
URI
https://hdl.handle.net/1721.1/131499
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Springer US
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