English

Do manifolds have little symmetry?

Algebraic Topology 2007-05-23 v1

Abstract

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?)''

Cite

@article{arxiv.math/0606714,
  title  = {Do manifolds have little symmetry?},
  author = {Volker Puppe},
  journal= {arXiv preprint arXiv:math/0606714},
  year   = {2007}
}

Comments

18 pages

R2 v1 2026-07-22T17:38:08.659Z