THE GOTTLIEB GROUP OF FINITE LINEAR QUOTIENTS OF ODD DIMENSIONAL SPHERES

被引：3
|
作者：
BROUGHTON, SA
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 111卷 / 04期
关键词：
GOTTLIEB GROUP; LINEAR GROUP ACTIONS;
D O I：
10.2307/2048588
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a finite, freely acting group of homeomorphisms of the odd-dimensional sphere S2n-1. John Oprea has proven that the Gottlieb group of S2n-1/G equals Z(G), the centre of G. The purpose of this short paper is to give a considerably shorter, more geometric proof of Oprea's theorem in the important case where G is a linear group.
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页码：1195 / 1197
页数：3
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