AUTOMORPHISMS OF THE GERSTEN GROUP

被引：0

作者：

Dudkin, F. A. ^{[1
,2
]}

Shaporina, E. A. ^{[3
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

[2] Sobolev Inst Math, Omsk Div, Omsk, Russia

[3] Novosibirsk State Univ, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2021年 / 62卷 / 03期

关键词：

free group; automorphism; outer automorphism group; Gersten group;

D O I：

10.1134/S0037446621030046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Gersten group G is the split extension F-3 (sic)(phi) Z of the free group F-3 with basis {a, b, c} by the automorphism phi : a bar right arrow a, b bar right arrow ba, c bar right arrow ca(2). We describe the generators and structure of the group Out(G) and prove that Out(G) similar or equal to (F-3 x Z(3)) (sic) (Z(2) x Z(2)).

引用

页码：413 / 422

页数：10

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