Find a copy in the library
Finding libraries that hold this item...
Details
Genre/Form: | Thèses et écrits académiques |
---|---|
Material Type: | Thesis/dissertation |
Document Type: | Book |
All Authors / Contributors: |
Oussama Ajbal; Eddy Godelle; Luis Paris; François Digne; Juan González-Meneses López; Paolo Bellingeri; Jean Mairesse; Université de Caen Normandie.,; École doctorale structures, informations, matière et matériaux (Caen / 1992-2016).,; Laboratoire de Mathématiques Nicolas Oresme (Caen / 2002- ...)., |
OCLC Number: | 958824852 |
Description: | 1 v. (IV-96 f.) ; 30 cm |
Responsibility: | Oussama Ajbal ; [sous la direction de] Eddy Godelle. |
Abstract:
Artin-Tits and Garside groups, two generalizations of braid groups, are both particular types of preGarside groups. In this thesis, we extend some results proved for braid groups, to Artin-Tits, Garside, and preGarside groups. First, we focus on the submonoids of fixed points and periodic points of endomorphisms of preGarside, Garside and Artin-Tits monoids. We show that these submonoids inherit, under some conditions, the structure of the ambient group. Then, we study some metrics over these same monoids. We compare these distances, show some equivalences and non-equivalences between them in general and in some particular cases, and then we provide a characterization of those endomorphisms of Artin-Tits monoids that are contractions. Finally, we calculate the double centralizer of any parabolic subgroup of any Artin-Tits group of spherical type.
Reviews

