Vol. 205, No. 2, 2002

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David Bessis & François Digne & Jean Michel

Abstract

We state a conjecture about centralizers of certain roots of central elements in braid groups, and check it for braid groups of type A, B, G(d,1,r) and a couple of other cases. Our proof makes use of results from Birman-Ko-Lee, of which we give a new intrinsic account.

Authors
David Bessis
Yale University
Department of Mathematics
PO Box 208 283, New Haven CT 06520-8283
François Digne
LAMFA, Université de Picardie-Jules Verne
33, Rue Saint-Leu
80039 Amiens Cedex
France
Jean Michel
LAMFA, Université de Picardie-Jules Verne
33, Rue Saint-Leu
80039 Amiens Cedex
France
Institut de Mathématiques
Université Paris VII
175, rue du Chevaleret
75013 Paris
France