Cubulating small cancellation groups |
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Authors: | Daniel T Wise |
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Institution: | (1) Math. & Stats., McGill University, Montreal, Quebec, H3A 2K6, Canada |
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Abstract: | We study the B(6) and B(4)-T(4) small cancellation groups.
These classes include the usual C (1/6) and C (1/4)-T(4) metric small
cancellation groups. We show that every finitely presented B(4)-T(4)
or word-hyperbolic B(6) group acts properly discontinuously and cocompactly
on a CAT(0) cube complex. We show that finitely generated infinite
B(6) and B(4)-T(4) groups have codimension 1 subgroups and thus do not
have property (T). We show that a finitely presented B(6) group is wordhyperbolic
if and only if it contains no
subgroup. |
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Keywords: | ((no )) |
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