Algebraic & Geometric Topology Volume 11, issue 3 (2011)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Periodic flats in $\mathrm{CAT}(0)$ cube complexes

Michah Sageev and Daniel T Wise

Algebraic & Geometric Topology 11 (2011) 1793–1820

DOI: 10.2140/agt.2011.11.1793

Bibliography

1	W Ballmann, M Brin, Orbihedra of nonpositive curvature, Inst. Hautes Études Sci. Publ. Math. (1995) MR1383216
2	G Baumslag, W W Boone, B H Neumann, Some unsolvable problems about elements and subgroups of groups, Math. Scand. 7 (1959) 191 MR0163948
3	M Bestvina, N Brady, Morse theory and finiteness properties of groups, Invent. Math. 129 (1997) 445 MR1465330
4	M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
5	J Kari, P Papasoglu, Deterministic aperiodic tile sets, Geom. Funct. Anal. 9 (1999) 353 MR1692474
6	L Mosher, Geometry of cubulated 3–manifolds, Topology 34 (1995) 789 MR1362788
7	M Sageev, Ends of group pairs and non-positively curved cube complexes, Proc. London Math. Soc. $(3)$ 71 (1995) 585 MR1347406
8	G P Scott, Finitely generated 3–manifold groups are finitely presented, J. London Math. Soc. $(2)$ 6 (1973) 437 MR0380763
9	D T Wise, Non-positively curved squared complexes: Aperiodic tilings and non-residually finite groups, PhD thesis, Princeton University (1996) MR2694733
10	D T Wise, A flat plane that is not the limit of periodic flat planes, Algebr. Geom. Topol. 3 (2003) 147 MR1997317
11	D T Wise, Approximating flats by periodic flats in CAT(0) square complexes, Canad. J. Math. 57 (2005) 416 MR2124924