On the genus of a quotient of a numerical semigroup
- Adeniran, Ayomikun
- Butler, Steve
- Defant, Colin
- Gao, Yibo
- Harris, Pamela E
- Hettle, Cyrus
- Liang, Qingzhong
- Nam, Hayan
- Volk, Adam
Publication date
September 2020
DOI Publisher
Springer Science and Business Media LLCAbstract
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
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