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Additive Number Theory and Linear Semigroups with Intermediate Growth

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Combinatorial and Additive Number Theory

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 101))

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Abstract

This paper surveys some classical results about growth in finitely generated semigroups and applies results from additive number theory to construct families of finitely generated linear semigroups with intermediate growth.

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Acknowledgements

This work was supported in part by a grant from the PSC-CUNY Research Award Program.

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Correspondence to Melvyn B. Nathanson .

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Nathanson, M.B. (2014). Additive Number Theory and Linear Semigroups with Intermediate Growth. In: Nathanson, M. (eds) Combinatorial and Additive Number Theory. Springer Proceedings in Mathematics & Statistics, vol 101. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1601-6_13

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