ISOTROPY GROUPS OF HOMOTOPY CLASSES OF MAPS

被引：1

作者：

TRIANTAFILLOU, G ^{[1
]}

机构：

[1] UNIV CRETE,DEPT MATH,IRAKLION,GREECE

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 334卷 / 01期

关键词：

HOMOTOPY SELF-HOMOTOPY EQUIVALENCE; ARITHMETIC GROUP; MINIMAL MODEL;

D O I：

10.2307/2153971

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let aut(X) be the group of homotopy classes of self-homotopy equivalences of a space X and let [f] is-an-element-of [X, Y] be a homotopy class of maps from X to Y . The aim of this paper is to prove that under certain nilpotency and finiteness conditions the isotropy group aut(X)[f] of [f] under the action of aut(X) on [X, Y] is commensurable to an arithmetic group. Therefore aut(X)[f] is a finitely presented group by a result of Borel and Harish-Chandra.

引用

页码：37 / 48

页数：12

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