ON THE HILBERT-POINCARE SERIES OF GRADED ALGEBRAS ASSOCIATED WITH GROUPS

被引：25

作者：

GRIGORCHUK, RI

机构：

来源：

MATHEMATICS OF THE USSR-SBORNIK | 1990年 / 66卷 / 01期

关键词：

D O I：

10.1070/SM1990v066n01ABEH002083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A description is given of groups for which the coefficients of the Hilbert-Poincar series of the associated algebra have power growth. Examples of finitely generated p-groups for which the growth of the coefficients of the Hilbert-Poincar series is of order are constructed. The results are applied to the theory of degrees of growth of groups. © 1990 American Mathematical Society.

引用

页码：211 / 229

页数：19

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