Isometries of CAT(0) cube complexes are semi-simple

Details Isometries of CAT(0) cube complexes are semi-simple Isometries of CAT(0) cube complexes are semi-simple

2007-05-23

arxiv.org/abs/0705.3386v1

Mathematics

Group Theory

Scientific paper

We show that an automorphism of an arbitrary CAT(0) cube complex either has a
fixed point or preserves some combinatorial axis. It follows that when a group
contains a distorted cyclic subgroup, it admits no proper action on a discrete
space with walls.

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