Mathematics – Group Theory
Scientific paper
2008-09-02
See final version in: Journal of Topology 2 No. 4 (2009) 661--700
Mathematics
Group Theory
The original version (September 2, 2008) has been split into two articles. This is the first part; the second is available as
Scientific paper
10.1112/jtopol/jtp026
We develop the structure theory of full isometry groups of locally compact non-positively curved metric spaces. Amongst the discussed themes are de Rham decompositions, normal subgroup structure and characterising properties of symmetric spaces and Bruhat--Tits buildings. Applications to discrete groups and further developments on non-positively curved lattices are exposed in a companion paper: "Isometry groups of non-positively curved spaces: discrete subgroups".
Caprace Pierre-Emmanuel
Monod Nicolas
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