Finite automorphisms of negatively curved Poincare Duality groups

Details Finite automorphisms of negatively curved Poincare Duality groups Finite automorphisms of negatively curved Poincare Duality groups

2003-02-19

arxiv.org/abs/math/0302218v2

Geom. Funct. Anal. (GAFA), 14 (2004), pgs. 283-294.

Mathematics

Group Theory

11 pages, 1 figure; revised version has shorter proof for Prop 2.1; appeared in Geom. Funct. Anal. 14 (2004), pgs. 283-294

Scientific paper

In this paper, we show that if G is a finite p-group (p prime) acting by
automorphisms on a $\delta$-hyperbolic Poincare Duality group, then the fixed
subgroup is a Poincare Duality group over Z/p. We also provide examples to show
that the fixed subgroup might not even be a Duality group over Z.

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