AUTOMORPHISMS OF SOME CYCLIC EXTENSIONS OF FREE GROUPS OF RANK THREE

被引：0
作者：
Shaporina, E. A. [1 ]
机构：
[1] Novosibirsk State Univ, Pirogova 2, Novosibirsk 630090, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2024年 / 21卷 / 02期
基金：
俄罗斯科学基金会;
关键词：
Free group; split cyclic extension; group of outer automorphisms;
D O I：
10.33048/semi.2024.21.088
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Description of the group of outer automorphisms of the Gersten group was obtained by the author together with F. Dudkin in 2021 [7]. In this paper, we study the possibility of extending the methods of that work to an infinite class of cyclic extensions of a free group of rank three G(k) = < a, b, c, t|a(t) = a, b(t) = ba(k), c(t) = c >. We have found the generating elements of the group Out(G(k)) and obtained a description of the structure of this group.
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收藏
页码：1400 / 1413
页数：14
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