On the genus of a quotient of a numerical semigroup
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Author(s)
Adeniran, Ayomikun
Butler, Steve
Defant, Colin
Gao, Yibo
Harris, Pamela E
Hettle, Cyrus
Liang, Qingzhong
Nam, Hayan
Volk, Adam
Date Issued
January 3, 2019
Publisher
Springer US
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00233-018-9989-3
