Infinite systolic groups are not torsion

@article{Prytula2018InfiniteSG,
  title={Infinite systolic groups are not torsion},
  author={Tomasz Prytula},
  journal={Colloquium Mathematicum},
  year={2018},
  volume={153},
  pages={169-194}
}
  • Tomasz Prytula
  • Published 2018
  • Mathematics
  • Colloquium Mathematicum
  • We study $k$-systolic complexes introduced by T. Januszkiewicz and J. Świątkowski, which are simply connected simplicial complexes of simplicial nonpositive curvature. Using techniques of filling diagrams we prove that for $k \geq 7$ the $1$-skeleton of a $k$-systolic complex is Gromov hyperbolic. We give an elementary proof of the so-called Projection Lemma, which implies contractibility of $6$-systolic complexes. We also present a new proof of the fact that an infinite group acting… CONTINUE READING

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