Abstract
We study certain quotients of Generalized Artin groups which have natural
map onto D-type Artin groups. In particular the Generalized Artin group A(T) defined by
a signed graph T. Then we find a certain quotient G(T) according to the graph T, which
have a natural map onto A(Dn) too. We prove that G(T) is isomorphic to a semidirect
product of a group K, with the Artin group A(Dn), where K depends only on the number
of cycles and on the number of edges of the graph T.
| Original language | American English |
|---|---|
| Journal | Communications in Algebra |
| State | Published - 2010 |