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Two-dimensional Artin groups with CAT(0) dimension three by Brady, Noel; Crisp, John is a scholarly article available to read on EtoBox.

What is Two-dimensional Artin groups with CAT(0) dimension three about?

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-dimensional CAT(0) complex. We prove that infinitely many of these groups are the fundamental groups of compact, non-positively curved 3-complexes. These examples show that the geometric dimension of a CAT(0) group may be strictly less than its CAT(0) dimension.

Author

Brady, Noel; Crisp, John

Published

2000

Language

EN