THE LAITINEN CONJECTURE FOR FINITE SOLVABLE OLIVER GROUPS

被引：6

作者：

Pawalowski, Krzysztof ^{[1
]}

Sumi, Toshio ^{[2
]}

机构：

[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

[2] Kyushu Univ, Fac Design, Dept Art & Informat Design, Minami Ku, Fukuoka 8158540, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 06期

关键词：

COMPLEXES; SETS;

D O I：

10.1090/S0002-9939-09-09719-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For smooth actions of G on spheres with exactly two fixed points, the Laitinen Conjecture proposed an answer to the Smith question about the G-modules determined on the tangent spaces at the two fixed points. Morimoto obtained the first counterexample to the Laitinen Conjecture for G = Aut(A(6)). By answering the Smith question for some finite solvable Oliver groups G, we obtain new counterexamples to the Laitinen Conjecture, presented for the first time in the case where G is solvable.

引用

页码：2147 / 2156

页数：10

共 21 条

[1]

[Anonymous], 1977, LINEAR REPRESENTATIO

[2] A LEFSCHETZ FIXED POINT FORMULA FOR ELLIPTIC COMPLEXES .2. APPLICATIONS [J].

ATIYAH, MF ;

BOTT, R .

ANNALS OF MATHEMATICS, 1968, 88 (03) :451-&

[3]

BREDON GE, 1972, PURE APP MATH, V46

[4]

JU XM, OSAKA J MAT IN PRESS

[5]

Kawakubo K, 1991, THEORY TRANSFORMATIO

[6] The Smith sets of finite groups with normal Sylow 2-subgroups and small nilquotients [J].

Koto, Akihiro ;

Morimoto, Masaharu ;

Qi, Yan .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2008, 48 (01) :219-227

[7] Smith equivalence of representations for finite perfect groups [J].

Laitinen, E ;

Pawalowski, K .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (01) :297-307

[8] Finite groups with smooth one fixed point actions on spheres [J].

Laitinen, E ;

Morimoto, M .

FORUM MATHEMATICUM, 1998, 10 (04) :479-520

[9]

Morimoto M., 2000, CONT MATH, V258, P329

[10] Smith equivalent Aut(A6)-representations are isomorphic [J].

Morimoto, Masaharu .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (10) :3683-3688

← 1 2 3 →