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the tits alternative for cat(0) cubical complexes

Published online by Cambridge University Press:  23 September 2005

michah sageev  and
daniel t. wise
michah sageev
Affiliation:
dept. of math., technion, haifa 32000, israelsageevm@techunix.technion.ac.il
daniel t. wise
Affiliation:
math. & stats., mcgill university, montreal, quebec, canada h3a 2k6 wise@math.mcgill.ca
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Abstract

a tits alternative theorem is proved in this paper for groups acting on cat(0) cubical complexes. that is, a proof is given to show that if $g$ is assumed to be a group for which there is a bound on the orders of its finite subgroups, and if $g$ acts properly on a finite-dimensional cat(0) cubical complex, then either $g$ contains a free subgroup of rank 2, or $g$ is finitely generated and virtually abelian. in particular, the above conclusion holds for any group $g$ with a free action on a finite-dimensional cat(0) cubical complex.

Keywords

20f6720e08
Type
papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 5 , October 2005 , pp. 706 - 710
Copyright
the london mathematical society 2005

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