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A Class of Subgroups of Thompson's Group V

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Abstract

We prove that the subgroups of the Thompson group V which are closed under a binary operation introduced by K.S. Brown are in bijective correspondence with a class of varieties of algebras with a single binary operation. In addition, we prove that there are exactly three such proper subgroups which contain the Thompson group F.

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  1. Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, Scotland

    Mark V. Lawson

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  1. Mark V. Lawson
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Correspondence to Mark V. Lawson.

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Lawson, M. A Class of Subgroups of Thompson's Group V. Semigroup Forum 75, 241–252 (2007). https://doi.org/10.1007/s00233-006-0678-2

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  • DOI: https://doi.org/10.1007/s00233-006-0678-2

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