Virtually Abelian Subgroups of IAn (Z/3) Are Abelian

被引：0

作者：

Handel, Michael ^{[1
]}

Mosher, Lee ^{[2
]}

机构：

[1] CUNY, Herbert H Lehman Coll, Dept Math, Bronx, NY 10468 USA

[2] Rutgers Univ Newark, Dept Math & Comp Sci, Newark, NJ 07012 USA

来源：

MICHIGAN MATHEMATICAL JOURNAL | 2020年 / 69卷 / 03期

基金：

美国国家科学基金会;

关键词：

AUTOMORPHISMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

When studying subgroups of Out(F-n), one often replaces a given subgroup H with one of its finite index subgroups H-0 so that virtual properties of H become actual properties of No. In many cases, the finite index subgroup is H-0 = H boolean AND IA(n) (Z/3). For which properties is this a good choice? Our main theorem states that being abelian is such a property. Namely, every virtually abelian subgroup of IA(n) (Z/3) is abelian.

引用

页码：465 / 485

页数：21

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