DETERMINING ABELIAN P-GROUPS FROM THEIR N-SOCLES

被引：1
|
作者：
MEKLER, AH [1 ]
SHELAH, S [1 ]
机构：
[1] HEBREW UNIV JERUSALEM,INST MATH,JERUSALEM,ISRAEL
来源：
COMMUNICATIONS IN ALGEBRA | 1990年 / 18卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1080/00927879008823915
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
: A necessary condition is given for a very wide separable p-group to be determined by its n-socle (the set of elements of order at most pn), A group G is very wide if it has a direct summand of final rank| G| which itself is a direct sum of cyclic groups. In the case, n = 1 (as Shelah has shown) this condition is sufficient but for n 5 1 examples are given to show that this condition is not sufficient. © 1990, Taylor & Francis Group, LLC. All rights reserved.
引用
收藏
页码：287 / 307
页数：21
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