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Monoids of injective maps closed under conjugation by permutations

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Abstract

Let Ω be a countably infinite set, Inj(Ω) the monoid of all injective endomaps of Ω, and Sym(Ω) the group of all permutations of Ω. We classify all submonoids of Inj(Ω) that are closed under conjugation by elements of Sym(Ω).

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Authors and Affiliations

  1. Department of Mathematics, University of Colorado, Colorado Springs, CO, 80933, USA

    Zachary Mesyan

Authors
  1. Zachary Mesyan
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Correspondence to Zachary Mesyan.

Additional information

This work was done while the author was supported by a Postdoctoral Fellowship from the Center for Advanced Studies in Mathematics at Ben Gurion University, a Vatat Fellowship from the Israeli Council for Higher Education, and ISF grant 888/07.

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Mesyan, Z. Monoids of injective maps closed under conjugation by permutations. Isr. J. Math. 189, 287–305 (2012). https://doi.org/10.1007/s11856-011-0159-5

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  • DOI: https://doi.org/10.1007/s11856-011-0159-5

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