Seminar of Algebra

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Endomorphisms of Garside groups

Eddy Godelle (Université de Caen)
Departamento de Álgebra
Wed, 14 may 2014 12:00
Eddy Godelle es profesor de la Universidad de Caen; sus áreas de trabajo son la teoría de grupos y la teoría de monoides.

In a recent article, P. Silva and E. Rodaro studied the stucture of the submonoids of fixed points of a endomorphism of a partially commutative Artin monoid. On the other hand, some years ago, John Crisp described the structure of the submonoids of fixed point of an automorphism of an Artin monoid. Here we will explain how these two results can be generalised and unified. We will also introduce natural distances on Artin monoids and characterise the endomorphisms of the latter that are contraction relatevely to the considered distances.