The Tits Alternative for Cat(0) Cubical Complexes
نویسنده
چکیده
We prove a Tits alternative theorem for groups acting on CAT(0) cubical complexes. Namely, suppose that G is a group for which there is a bound on the orders of its finite subgroups. We prove that if G acts properly on a finitedimensional 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.
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