PROFINITE COMPLETION OF GRIGORCHUK'S GROUP IS NOT FINITELY PRESENTED

被引：3

作者：

Benli, Mustafa Gokhan ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2012年 / 22卷 / 05期

关键词：

Grigorchuk group; profinite completion; BRANCH GROUPS; PRESENTATIONS;

D O I：

10.1142/S0218196712500452

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that the profinite completion (G) over cap of the Grigorchuk group G is not finitely presented as a profinite group. We obtain this result by showing that H-2((G) over cap, F-2) is infinite dimensional. Also several results are proven about the finite quotients G/St(G)(n) including minimal presentations and Schur Multipliers.

引用

页数：26

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