Actions of finite groups on homotopy 3-spheres

M. E. Feighn

doi:10.1090/S0002-9947-1984-0742416-5

Actions of finite groups on homotopy 3-spheres

M. E. Feighn

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

It is conjectured that the action of a finite group of diffeomorphisms of the 3-sphere is equivariantly diffeomorphic to a linear action. This conjecture is verified if both of the following conditions hold: (i) Each isotropy subgroup is dihedral or cyclic, (ii) There is a point with cyclic isotropy subgroup of order not 1, 2, 3 or 5.

Original language	English (US)
Pages (from-to)	141-151
Number of pages	11
Journal	Transactions of the American Mathematical Society
Volume	284
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1984-0742416-5
State	Published - Jul 1984
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9947-1984-0742416-5

Cite this

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title = "Actions of finite groups on homotopy 3-spheres",

abstract = "It is conjectured that the action of a finite group of diffeomorphisms of the 3-sphere is equivariantly diffeomorphic to a linear action. This conjecture is verified if both of the following conditions hold: (i) Each isotropy subgroup is dihedral or cyclic, (ii) There is a point with cyclic isotropy subgroup of order not 1, 2, 3 or 5.",

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PY - 1984/7

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N2 - It is conjectured that the action of a finite group of diffeomorphisms of the 3-sphere is equivariantly diffeomorphic to a linear action. This conjecture is verified if both of the following conditions hold: (i) Each isotropy subgroup is dihedral or cyclic, (ii) There is a point with cyclic isotropy subgroup of order not 1, 2, 3 or 5.

AB - It is conjectured that the action of a finite group of diffeomorphisms of the 3-sphere is equivariantly diffeomorphic to a linear action. This conjecture is verified if both of the following conditions hold: (i) Each isotropy subgroup is dihedral or cyclic, (ii) There is a point with cyclic isotropy subgroup of order not 1, 2, 3 or 5.

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U2 - 10.1090/S0002-9947-1984-0742416-5

DO - 10.1090/S0002-9947-1984-0742416-5

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AN - SCOPUS:29944447261

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EP - 151

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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ER -

Actions of finite groups on homotopy 3-spheres

Abstract

All Science Journal Classification (ASJC) codes

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