A Magnus theorem for some amalgamated products

被引：2
|
作者：
Feldkamp, Carsten [1 ]
机构：
[1] Heinrich Heine Univ Dusseldorf, D-40225 Dusseldorf, Germany
来源：
COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 12期
关键词：
Group Theory; Magnus property; amalgamated products; surface groups;
D O I：
10.1080/00927872.2019.1623235
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A group G possesses the Magnus property if for every two elements with the same normal closure, u is conjugate in G to v or We prove the Magnus property for some amalgamated products including the fundamental group of a closed non-orientable surface of genus 3. This answers a question of O. Bogopolski and K. Sviridov, who obtained the analogous result for genus g > 3.
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页码：5348 / 5360
页数：13
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