English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We show that the simple elements of the dual Garside structure of an Artin group of type    D  n    are Mikado braids, giving a positive answer to a conjecture of Digne and the second author. To this end, we use an embedding of the Artin group of type    D  n    in a suitable quotient of an Artin group of type    B  n    noted by Allcock, of which we give a simple algebraic proof here. This allows one to give a characterization of the Mikado braids of type    D  n    in terms of those of type    B  n    and also to describe them topologically. Using this topological representation and Athanasiadis and Reiner's model for noncrossing partitions of type    D  n    which can be used to represent the simple elements, we deduce the above‐mentioned conjecture.

Simple dual braids, noncrossing partitions and Mikado braids of type D n