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arXiv:2407.07459 [math.GR]AbstractReferencesReviewsResources

Retraction to a parabolic subgroup and applications

François Digne, Eddy Godelle, Jean Michel

Published 2024-07-10Version 1

We continue the study of the retraction from an Artin group to a standardparabolic subgroup introduced by Blufstein, Charney, Paris and the secondauthor. Using right and left retractions we obtain new results on minimalparabolic subgroups, intersection of parabolic subgroups, double cosets withrespect to parabolic subgroups and conjugacy classes in Artin groups.

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