Commutators of diffeomorphisms. III: A group which is not perfect

DOI10.1007/BF02567403zbMath0575.58011OpenAlexW2073907084MaRDI QIDQ1064592

John N. Mather

Publication date: 1985

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140003

zbMATH Keywords

compactly supported \(C^ 1\)- diffeomorphismsgroup of \(C^ r\)-diffeomorphisms

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Related Items (12)

Commutators of contactomorphisms ⋮ Boundedness of certain automorphism groups of an open manifold ⋮ Locally continuously perfect groups of homeomorphisms ⋮ Homogeneous Sobolev metric of order one on diffeomorphism groups on real line ⋮ Diffeomorphism groups of compact manifolds ⋮ Mather invariant, distortion, and conjugates for diffeomorphisms of the interval ⋮ Homeomorphism groups of commutator width one ⋮ Homomorphisms between diffeomorphism groups ⋮ On the structure of the commutator subgroup of certain homeomorphism groups ⋮ The Godbillon--Vey cyclic cocycle for PL-foliations ⋮ Commutators and companion matrices over rings of stable rank 1 ⋮ Width of groups of type $\mathrm E_{6}$ with respect to root elements. I

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