Isometry groups of non-positively curved spaces: structure theory

Mathematics – Group Theory

Scientific paper

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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".

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