Heriot-Watt Mathematics Report Series
HWM06-12, 31 Mar 2006

A class of subgroups of Thompson's group V

M V Lawson


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. We prove that there are exactly three such subgroups containing the Thompson group F.

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