Realization of 2-solvable nilpotent groups as groups of classes of homotopy self-equivalences

被引：3

作者：

Federinov, Julien ^{[1
]}

Felix, Yves ^{[1
]}

机构：

[1] Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium

来源：

TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 12期

关键词：

rational homotopy; self-homotopy equivalence; nilpotent groups;

D O I：

10.1016/j.topol.2007.04.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a 1-connected CW-complex of finite type and epsilon(#)(X) be the group of homotopy classes of self-equi valences of X which induce the identity on homotopy groups. In this paper, we prove that every finitely generated 2-solvable rational nilpotent group is realizable as epsilon(#) (X) where X is the rationalization of a 1-connected CW-complex of finite type. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：2425 / 2433

页数：9

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