ON THE BAKER'S MAP AND THE SIMPLICITY OF THE HIGHER DIMENSIONAL THOMPSON GROUPS nV

We show that the baker's map is a finite product of transpositions (particularly pleasant involutions), and conclude from this that an existing very short proof of the simplicity of Thompson's group V applies with equal brevity to the higher dimensional Thompson groups nV.

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Bibliographic Details
Published in:Publicacions matemàtiques 2010-01, Vol.54 (2), p.433-439
Main Author: Brin, Matthew G.
Format: Article
Language:English
Subjects:
20B07
20E32
20F05
57M60
baker’s map
infinite simple group
Line segments
Mathematics
Rectangles
Thompson group
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Description
Summary:We show that the baker's map is a finite product of transpositions (particularly pleasant involutions), and conclude from this that an existing very short proof of the simplicity of Thompson's group V applies with equal brevity to the higher dimensional Thompson groups nV.
ISSN:0214-1493
2014-4350
DOI:10.5565/publmat_54210_07