SPHERES NOT ADMITTING SMOOTH ODD-FIXED-POINT ACTIONS OF S5 AND SL(2,5)

被引：0

作者：

Morimoto, Masaharu ^{[1
]}

Tamura, Shunsuke ^{[1
]}

机构：

[1] Okayama Univ, Grad Sch Nat Sci & Technol, Tsushimanaka 3-1-1, Okayama 7008530, Japan

来源：

OSAKA JOURNAL OF MATHEMATICS | 2020年 / 57卷 / 01期

关键词：

REPRESENTATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and Sigma a homology sphere with smooth G-action. If the G-fixed-point set of Sigma consists of odd-number points then the dimension of Sigma could be restrictive. In this article we confirm the claim in the cases where G = S-5 or SL(2, 5).

引用

页码：1 / 8

页数：8

共 26 条

[1] The dimension of spheres with smooth one fixed point actions
Bak, A
Morimoto, M
[J]. FORUM MATHEMATICUM, 2005, 17 (02) : 199 - 216
[2] BAK A, 1992, P C TOP HAW 1990, P13
[3] Borowiecka A., ARXIV180500447V2
[4] Borowiecka A., 2016, B POL ACAD SCI MATH, V64, P85
[5] Bredon G., 1972, INTRO COMPACT TRANSF
[6] ONE FIXED-POINT ACTIONS ON LOW-DIMENSIONAL SPHERES
BUCHDAHL, NP
KWASIK, S
SCHULTZ, R
[J]. INVENTIONES MATHEMATICAE, 1990, 102 (03) : 633 - 662
[7] Conner P.E., 1964, FLOYD DIFFERENTIABLE
[8] Demichelis S., 1989, LENSEIGN MATH, V35, P107
[9] A REMARK ON A FIXED-POINT OF FINITE-GROUP ACTION ON S4
FURUTA, M
[J]. TOPOLOGY, 1989, 28 (01) : 35 - 38
[10] Smith equivalence of representations for finite perfect groups
Laitinen, E
Pawalowski, K
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (01) : 297 - 307

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