Simple connectivity of the Quillen complex of the symmetric group

被引：10

作者：

Ksontini, R

机构：

[1] CH-1018 Lausanne

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2003年 / 103卷 / 02期

关键词：

subgroup complexes; Quillen complex; symmetric group; simple connectivity;

D O I：

10.1016/S0097-3165(03)00073-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the homotopy type of the Quillen complex of the symmetric group DeltaA(p)(S-n). More precisely, we show that the simplicial complex DeltaA(p)(S-n) is simply connected if p is odd and either 3p + 2 less than or equal ton<p(2) or ngreater than or equal top(2) + p. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：257 / 279

页数：23

共 7 条

[1] SIMPLE CONNECTIVITY OF P-GROUP COMPLEXES [J].