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.
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页数：26
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