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- W2042035330 abstract "An important theorem of Ling states that if $G$ is any factorizable non-fixing group of homeomorphisms of a paracompact space then its commutator subgroup $[G,G]$ is perfect. This paper is devoted to further studies on the algebraic structure (e.g. uniform perfectness, uniform simplicity) of $[G,G]$ and $[tilde G,tilde G]$, where $tilde G$ is the universal covering group of $G$. In particular, we prove that if $G$ is bounded factorizable non-fixing group of homeomorphisms then $[G,G]$ is uniformly perfect (Corollary 3.4). The case of open manifolds is also investigated. Examples of homeomorphism groups illustrating the results are given." @default.
- W2042035330 created "2016-06-24" @default.
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- W2042035330 date "2010-06-16" @default.
- W2042035330 modified "2023-10-01" @default.
- W2042035330 title "On the structure of the commutator subgroup of certain homeomorphism groups" @default.
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