Asphericity tests

被引：6
|
作者：
Klyachko, AA
机构：
[1] Dept. of Mechanics and Mathematics, Moscow State University
来源：
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 1997年 / 7卷 / 04期
关键词：
D O I：
10.1142/S0218196797000186
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In paper [5] the classical Kervaire-Laudenbach conjecture for torsion-free groups is proved. The proof is based on an amazing geometrical fact. Here we prove that this fact is a special case of a statement similar to the well-known Bogley-Pride weight test [2]. This article describes all analogous tests and demonstrates some of their applications to the theory of equations over groups.
引用
收藏
页码：415 / 431
页数：17
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