Do manifolds have little symmetry?

2006/06/28 by Volker Puppe, Puppe, Volker · 2 citations
Mathematics · #55N91 #57S17 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55N91 #msc:57S17

paper · pdf · doi:10.48550/arxiv.math/0606714

18 pages

arxiv created 2006/06/28 · arxiv updated 2009/12/01

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?)''

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