Alexander groups of long virtual knots

被引：7

作者：

Silver, DS ^{[1
]}

Williams, SG ^{[1
]}

机构：

[1] Univ S Alabama, Dept Math & Stat, Mobile, AL 36688 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2006年 / 15卷 / 01期

基金：

美国国家科学基金会;

关键词：

virtual knot; Alexander group;

D O I：

10.1142/S021821650600435X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Alexander group systems for virtual long knots are defined and used to show that any virtual knot is the closure of infinitely many long virtual knots. Manturov's result that there exists a pair of long virtual knots that do not commute is reproved.

引用

页码：43 / 52

页数：10

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