Topological Symmetries of R³

2016/02/17 by Slawomir Kwasik, Fang Sun, Kwasik, Slawomir +1
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT

paper · pdf · doi:10.48550/arxiv.1602.05295

arxiv created 2016/03/06 · arxiv updated 2016/03/08

Abstract

If a finite group acts topologically, faithfully and orientation preservingly on R³, then it is isomorphic to a subgroup of SO(3).

Related

• Topological Symmetries of R³, II
• On topological actions of finite groups on S³
• Finite symmetries of S⁴
• Classification of the topological holonomy groups in SO(3)
• Topological Symmetry Groups of the Petersen Graph