J. Crisp

activity

20002004

most citedArtin groups of type B and D

11 citations · 11 across the 3 of their papers we have counts for

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4 papers · 1 filter

math.GR2004

Automorphism groups of some affine and finite type Artin groups

Ruth Charney, John Crisp

We observe that, for each positive integer n > 2, each of the Artin groups of finite type A_n, B_n=C_n, and affine type \tilde A_{n-1} and \tilde C_{n-1} is a central extension of…

math.GR2002

Representations of the braid group by automorphisms of groups, invariants of links, and Garside groups

John Crisp, Luis Paris

From a group $H$ and a non-trivial element $h$ of $H$ , we define a representation $ρ: B_n \to \Aut(G)$, where $B_{n}$ denotes the braid group on $n$ strands, and $G$ denotes the free…

math.GR2002★ 11 cited

Artin groups of type B and D

J. Crisp, L. Paris

We show that each of the Artin groups of type $B_{n}$ and $D_{n}$ can be presented as a semidirect product $F ⋊ B_{n}$ , where $F$ is a free group and $B_{n}$ is the $n$ …

math.GR2000

Two-dimensional Artin groups with CAT(0) dimension three

Noel Brady, John Crisp

We exhibit 3-generator Artin groups which have finite 2-dimensional Eilenberg-Mac Lane spaces, but which do not act properly discontinuously by semi-simple isometries on a 2-dimens…