ApCoCoA-1:Thompson group
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Revision as of 10:30, 28 March 2014 by StrohmeierB (talk | contribs) (New page: === <div id="Thompson_groups">Thompson group</div> === ==== Description ==== The Thompson group can be regarded as the group of piecewise-linear, ...)
Description
The Thompson group can be regarded as the group of piecewise-linear, orientation-preserving homeomorphisms of the unit interval which have breakpoints only at dyadic points and on intervals of differentiability the slopes are powers of two. A representation is given by:
T = <a,b | [ab^{-1},a^{-1}ba] = [ab^{-1},a^{-2}ba^{2}] = 1>
Reference
NEW PRESENTATIONS OF THOMPSON'S GROUPS AND APPLICATIONS: UFFE HAAGERUP AND GABRIEL PICIOROAGA
