Covers of D-type Artin groups

Meirav Amram, Robert Shwartz, Mina Teicher

Research output: Contribution to journalArticlepeer-review

Abstract

We study certain quotients of generalized Artin groups which have a natural map onto D-type Artin groups, where the generalized Artin group A(T) is defined by a signed graph T. Then we find a certain quotient G(T) according to the graph T, which also have a natural map onto A(Dn). We prove that G(T) is isomorphic to a semidirect product of a group K(m,n), with the Artin group A(Dn), where K(m,n) depends only on the number m of cycles and on the number n of vertices of the graph T.

Original languageEnglish
Article number#P4.17
JournalElectronic Journal of Combinatorics
Volume24
Issue number4
DOIs
StatePublished - 20 Oct 2017

Keywords

  • Artin groups
  • Signed graphs

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