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On the structure of the group of equivariant diffeomorphisms of G-manifolds with codimension one orbit |
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| Authors: | K jun Abe Kazuhiko Fukui |
| Institution: | a Department of Mathematical Sciences, Shinshu University, Matsumoto 390-8621, Japan b Department of Mathematics, Kyoto Sangyo University, Kyoto 603-8555, Japan |
| Abstract: | It is known that the equivariant diffeomorphism group DiffG∞(M)0 of a principal G-manifold M is perfect. If M has at least two orbit types, then it is not true. The purpose of this paper is to determine the first homology group of DiffG∞(M)0 when M is a G-manifold with codimension one orbit. |
| Keywords: | G-manifold Diffeomorphism group Commutator Lie group |
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