Geodesic
Small Braids with Large Ultra Summit Set
Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 577-588

Voir la notice de l'article provenant de la source Math-Net.Ru

In [1; Open question 2], the following question was posed: Is the size of the ultra summit set of the conjugacy class of a rigid pseudo-Anosov braid bounded above by a polynomial in the braid length and the number of strands? A negative answer to this question is given.
Keywords: braid group, conjugacy problem, ultra summit set, left normal form, Garside element, Birman–Ko–Lee presentation.
Mots-clés : rigid pseudo-Anosov braid 
@article{MZM_2011_89_4_a8,
     author = {M. Prasolov},
     title = {Small {Braids} with {Large} {Ultra} {Summit} {Set}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {577--588},
     publisher = {mathdoc},
     volume = {89},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a8/}
}
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M. Prasolov. Small Braids with Large Ultra Summit Set. Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 577-588. http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a8/