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Finite symmetries of S 4

Finite symmetries of S 4 Abstract This paper discusses topological and locally linear actions of finite groups on S 4 . Local linearity of the orientation preserving actions on S 4 forces the group to be a subgroup of SO(5). On the other hand, orientation reversing topological actions of “exotic” groups G (i.e., G ¬⊂ O(5)) on S 4 are constructed, and local linearity and stable smoothability of the actions are studied. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

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References (40)

Publisher
de Gruyter
Copyright
Copyright © 2016 by the
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/forum-2014-0083
Publisher site
See Article on Publisher Site

Abstract

Abstract This paper discusses topological and locally linear actions of finite groups on S 4 . Local linearity of the orientation preserving actions on S 4 forces the group to be a subgroup of SO(5). On the other hand, orientation reversing topological actions of “exotic” groups G (i.e., G ¬⊂ O(5)) on S 4 are constructed, and local linearity and stable smoothability of the actions are studied.

Journal

Forum Mathematicumde Gruyter

Published: Mar 1, 2016

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