Cubular tubular groups

Wise, Daniel

doi:10.1090/S0002-9947-2014-06065-0

Cubular tubular groups
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Trans. Amer. Math. Soc. 366 (2014), 5503-5521 Request permission

Abstract:

Let $G$ split as a finite graph of free abelian groups with cyclic edge groups. We characterize when $G$ acts freely on a CAT(0) cube complex. We show that if $G$ acts properly and semi-simply on a CAT(0) space, then $G$ acts freely on a CAT(0) cube complex.

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