Normal subgroup growth in free class-2-nilpotent groups

被引：8

作者：

Voll, C ^{[1
]}

机构：

[1] Math Inst, Oxford OX1 3LB, England

来源：

MATHEMATISCHE ANNALEN | 2005年 / 332卷 / 01期

关键词：

Functional Equation; Normal Subgroup; Zeta Function; Pole Order; Subgroup Growth;

D O I：

10.1007/s00208-004-0617-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F-2,F-d denote the free class-2-nilpotent group on d generators. We compute the normal zeta functions xi(triangle)F(2,d)(s), prove that they satisfy local functional equations and determine their abscissae of convergence and pole orders.

引用

页码：67 / 79

页数：13

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