Normal subgroups of

Author:
Francisca Mascaró

Journal:
Proc. Amer. Math. Soc. **92** (1984), 609-614

MSC:
Primary 58D05; Secondary 57R50

MathSciNet review:
760953

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Abstract: Let be a volume element on of infinite total -volume. We denote by the group of all -preserving diffeomorphisms of , by the subgroup of all elements with compact support and by the subgroup of all elements whose support has finite -volume.

We prove that there is no normal subgroup between and .

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1984-0760953-X

Article copyright:
© Copyright 1984
American Mathematical Society