We prove that if a group G is systolic, i.e., if it acts properly and cocompactly on a systolic complex X, then an appropriate Rips complex constructed from X is a finite model for EG.
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Piotr Przytycki, <u><var>E</var></u><var>G</var> for systolic groups. Comment. Math. Helv. 84 (2009), no. 1, pp. 159–169DOI 10.4171/CMH/156