Amalgams of nilpotent groups of class two

被引：0

作者：

Magidin, A ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

来源：

JOURNAL OF ALGEBRA | 2004年 / 274卷 / 01期

关键词：

amalgam; nilpotent; weak embedding; strong embedding; dominion; special amalgam; amalgamation base;

D O I：

10.1016/j.jalgebra.2003.12.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give necessary and sufficient conditions for weak and strong embeddability of amalgams in each subvariety of N-2, the class of all nilpotent groups of class at most two; this generalizes B. Maier's result for N-2. We also discuss dominions, and characterize the weak, strong, and special amalgamation bases for each subvariety, contrasting the resulting classes with one another. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：1 / 63

页数：63

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