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arXiv · 2407.07459

Retraction to a parabolic subgroup and applications

François Digne·Eddy Godelle·Jean Michel
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Abstract

We continue the study of the retraction from an Artin group to a standard parabolic subgroup introduced by Blufstein, Charney, Paris and the second author. Using right and left retractions we obtain new results on minimal parabolic subgroups, intersection of parabolic subgroups, double cosets with respect to parabolic subgroups and conjugacy classes in Artin groups.

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François Digne, Eddy Godelle, Jean Michel. 2024-07-10. Retraction to a parabolic subgroup and applications. https://arxiv.org/abs/2407.07459

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