On the baker's map and the simplicity of the higher dimensional Thompson groups $nV$
Brin, Matthew G.
Publ. Mat., Tome 54 (2010) no. 2, p. 433-439 / Harvested from Project Euclid
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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 $nV$.
Publié le : 2010-05-15
Classification:  Thompson group,  baker’s map,  infinite simple group,  20E32,  20F05,  20B07,  57M60 
@article{1277731540,
     author = {Brin, Matthew G.},
     title = {On the baker's map and the simplicity of the higher dimensional Thompson groups $nV$},
     journal = {Publ. Mat.},
     volume = {54},
     number = {2},
     year = {2010},
     pages = { 433-439},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277731540}
}

Brin, Matthew G. On the baker's map and the simplicity of the higher dimensional Thompson groups $nV$. Publ. Mat., Tome 54 (2010) no. 2, pp.  433-439. http://gdmltest.u-ga.fr/item/1277731540/