The dimension of spheres with smooth one fixed point actions

Anthony Bak; Masaharu Morimoto

doi:10.1515/form.2005.17.2.199

The dimension of spheres with smooth one fixed point actions

Anthony Bak, Masaharu Morimoto

Graduate School of Natural Science and Technology

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

8 Citations (Scopus)

Abstract

The article proves that there are smooth one fixed point actions of the alternating group of degree 5 on the 8-dimensional sphere. It follows that a sphere has a smooth one fixed point action of some finite group if and only if the dimension of the sphere is greater than or equal to 6.

Original language	English
Pages (from-to)	199-216
Number of pages	18
Journal	Forum Mathematicum
Volume	17
Issue number	2
DOIs	https://doi.org/10.1515/form.2005.17.2.199
Publication status	Published - Mar 2005

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1515/form.2005.17.2.199

Cite this

@article{cc683a0efda14af9acaeaa8f423246b9,

title = "The dimension of spheres with smooth one fixed point actions",

abstract = "The article proves that there are smooth one fixed point actions of the alternating group of degree 5 on the 8-dimensional sphere. It follows that a sphere has a smooth one fixed point action of some finite group if and only if the dimension of the sphere is greater than or equal to 6.",

author = "Anthony Bak and Masaharu Morimoto",

note = "Funding Information: Acknowledgement. The second author was partially supported by Grant-in-Aid for Scientific Research (KAKENHI). The first author was partially supported by INTAS 00-566.",

year = "2005",

month = mar,

doi = "10.1515/form.2005.17.2.199",

language = "English",

volume = "17",

pages = "199--216",

journal = "Forum Mathematicum",

issn = "0933-7741",

publisher = "Walter de Gruyter GmbH & Co. KG",

number = "2",

}

TY - JOUR

T1 - The dimension of spheres with smooth one fixed point actions

AU - Bak, Anthony

AU - Morimoto, Masaharu

N1 - Funding Information: Acknowledgement. The second author was partially supported by Grant-in-Aid for Scientific Research (KAKENHI). The first author was partially supported by INTAS 00-566.

PY - 2005/3

Y1 - 2005/3

N2 - The article proves that there are smooth one fixed point actions of the alternating group of degree 5 on the 8-dimensional sphere. It follows that a sphere has a smooth one fixed point action of some finite group if and only if the dimension of the sphere is greater than or equal to 6.

AB - The article proves that there are smooth one fixed point actions of the alternating group of degree 5 on the 8-dimensional sphere. It follows that a sphere has a smooth one fixed point action of some finite group if and only if the dimension of the sphere is greater than or equal to 6.

UR - http://www.scopus.com/inward/record.url?scp=25144519705&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=25144519705&partnerID=8YFLogxK

U2 - 10.1515/form.2005.17.2.199

DO - 10.1515/form.2005.17.2.199

M3 - Article

AN - SCOPUS:25144519705

VL - 17

SP - 199

EP - 216

JO - Forum Mathematicum

JF - Forum Mathematicum

SN - 0933-7741

IS - 2

ER -

The dimension of spheres with smooth one fixed point actions

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this