The genus of HNN-extensions

被引：4

作者：

de Bessa, Vagner Rodrigues ^{[1
]}

Zalesskii, Pavel ^{[2
]}

机构：

[1] Univ Fed Vicosa, Inst Exact Sci, Vicosa, MG, Brazil

[2] Univ Brasilia, Dept Math, Brasilia, DF, Brazil

来源：

MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 8-9期

关键词：

Residually finite groups; profinite groups; genus MSC (2010) 20E06; 20E18; ISOMORPHIC FINITE QUOTIENTS; POLYCYCLIC GROUPS;

D O I：

10.1002/mana.201100357

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find a bound on the genus of an HNN-extension HNN(K, A, f) with a finite base group K. We also give sufficient conditions when the genus is 1, i.e. when HNN(K, A, f) is determined by its profinite completion up to isomorphism with respect to the family of all virtually free groups.

引用

页码：817 / 831

页数：15

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