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Symmetric words in metabelian groups

 

作者: Waldemar Holubowski,  

 

期刊: Communications in Algebra  （Taylor Available online 1995）
卷期: Volume 23, issue 14  

页码: 5161-5167

 

ISSN:0092-7872

 

年代: 1995

 

DOI:10.1080/00927879508825525

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

An n-ary word w(x1,…,xn) is called n-symmetric for a group G if w(g1,…,gn) = w(gσ1,…,gσn) for all g1,…,gnin G and all permu¬tations a in the symmetric group Sn. In this note we describe 2 and 3-symmetric words in free metabelian groups and metabelian groups of nilpotency class c, for arbitrary c.

 

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