The Tits Alternative for Cat(0) Cubical Complexes |
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| Authors: | Sageev Michah; Wise Daniel T |
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| Institution: | Dept. of Math., Technion Haifa 32000, Israel sageevm{at}techunix.technion.ac.il
Math. & Stats., McGill University Montreal, Quebec, Canada H3A 2K6 wise{at}math.mcgill.ca |
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| Abstract: | A Tits alternative theorem is proved in this paper for groupsacting on CAT(0) cubical complexes. That is, a proof is givento show that if G is assumed to be a group for which there isa bound on the orders of its finite subgroups, and if G actsproperly on a finite-dimensional CAT(0) cubical complex, theneither G contains a free subgroup of rank 2, or G is finitelygenerated and virtually abelian. In particular, the above conclusionholds for any group G with a free action on a finite-dimensionalCAT(0) cubical complex. 2000 Mathematics Subject Classification20F67, 20E08. |
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