Do manifolds have little symmetry?

Details Do manifolds have little symmetry? Do manifolds have little symmetry?

2006-06-28

arxiv.org/abs/math/0606714v1

Mathematics

Algebraic Topology

18 pages

Scientific paper

This note is surveying certain aspects (including recent results) of the following problem stated by F.Raymond and R.Schultz: ''It is generally felt that a manifold 'chosen at random' will have little symmetry. Can this intuitive notion be made more precise? Does there exist a closed simply connected manifold, on which no finite group acts effectively? (A weaker question, no involution?)''

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