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The automorphism groups of the profinite braid groups

Authors :
Minamide, Arata
Nakamura, Hiroaki
Source :
American Journal of Mathematics. 144:1159-1176
Publication Year :
2022
Publisher :
Project MUSE, 2022.

Abstract

In this paper we determine the automorphism groups of the profinite braid groups with four or more strings in terms of the profinite Grothendieck-Teichm\"uller group.

Details

ISSN :
10806377
Volume :
144
Database :
OpenAIRE
Journal :
American Journal of Mathematics
Accession number :
edsair.doi.dedup.....fd252fb0c34e32d6116eca3b7d0d860e