Free actions of finite groups on products of symmetric powers of even spheres

被引：0

作者：

Deo, S ^{[1
]}

Maitra, JK ^{[1
]}

机构：

[1] Rani Durgavati Univ, Dept Math & Comp Sci, Jabalpur 482001, India

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 01期

关键词：

Lefschetz number; free action; symmetric powers; Wreath products;

D O I：

10.1090/S0002-9939-99-05193-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper answers a question on the existence of free actions on products of symmetric powers of even-spheres. The main objective is to show that a finite group G acts freely on a finite product of symmetric powers of even-dimensional spheres iff it can act freely on a suitable product of even-dimensional spheres themselves.

引用

页码：299 / 306

页数：8

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