Abstract
We study the structure of the group of equivariant Lipschitz homeomorphisms of a smooth -manifold which are isotopic to the identity through equivariant Lipschitz homeomorphisms with compact support. First we show that the group is perfect when is a smooth free -manifold. Secondly in the case of with the canonical -action, we show that the first homology group admits continuous moduli. Thirdly we apply the result to the case of the group of Lipschitz homeomorphisms of fixing the origin.
Citation
Kōjun ABE. Kazuhiko FUKUI. Takeshi MIURA. "On the first homology of the group of equivariant Lipschitz homeomorphisms." J. Math. Soc. Japan 58 (1) 1 - 15, JANUARY, 2006. https://doi.org/10.2969/jmsj/1145287091
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