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Beyond Coins, Stamps, and Chicken McNuggets: An Invitation to Numerical Semigroups

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A Project-Based Guide to Undergraduate Research in Mathematics

Part of the book series: Foundations for Undergraduate Research in Mathematics ((FURM))

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Abstract

We give a self-contained introduction to numerical semigroups and present several open problems centered on their factorization properties.

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References

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Acknowledgements

The authors would like to thank an unknown referee for detailed comments that greatly improved this manuscript. They would also thank Nathan Kaplan for his discussions and input. All plots created using Sage [21], and all computations involving numerical semigroups utilize the GAP package numericalsgps [12].

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Authors and Affiliations

  1. Mathematics and Statistics Department, Sam Houston State University, Huntsville, TX, USA

    Scott Chapman & Rebecca Garcia

  2. Mathematics and Statistics Department, San Diego State University, San Diego, CA, USA

    Christopher O’Neill

Authors
  1. Scott Chapman
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  2. Rebecca Garcia
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  3. Christopher O’Neill
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Corresponding author

Correspondence to Scott Chapman .

Editor information

Editors and Affiliations

  1. Mathematics, Williams College, Williamstown, MA, USA

    Pamela E. Harris

  2. Mathematics, Florida Gulf Coast University, Fort Myers, FL, USA

    Erik Insko

  3. Mathematics, University of Portland, Portland, OR, USA

    Aaron Wootton

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Chapman, S., Garcia, R., O’Neill, C. (2020). Beyond Coins, Stamps, and Chicken McNuggets: An Invitation to Numerical Semigroups. In: Harris, P., Insko, E., Wootton, A. (eds) A Project-Based Guide to Undergraduate Research in Mathematics. Foundations for Undergraduate Research in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-37853-0_6

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