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.
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页码：211 / 229
页数：19
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