DIMENSION SUBGROUPS, NILPOTENCY INDEXES, AND THE NUMBER OF GENERATORS OF IDEALS IN PARA-GROUP ALGEBRAS

被引：32

作者：

SHALEV, A

机构：

[1] Institute of Mathematics and Computer Sciences, The Hebrew University of Jerusalem, Givat Ram

来源：

JOURNAL OF ALGEBRA | 1990年 / 129卷 / 02期

关键词：

D O I：

10.1016/0021-8693(90)90228-G

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Various problems in modular p-group algebras are solved through extensive study of dimension subgroups. As an application it is shown that, if G is an infinite res-P group (p > 2) and K is a field of characteristic p, then the least upper bound on the numbers of generators of ideals in KG equals the minimal index of a cyclic Subgroup of G. © 1990.

引用

页码：412 / 438

页数：27

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