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 language | English |
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Article number | #P4.17 |
Journal | Electronic Journal of Combinatorics |
Volume | 24 |
Issue number | 4 |
DOIs | |
State | Published - 20 Oct 2017 |
Keywords
- Artin groups
- Signed graphs