首页   按字顺浏览 期刊浏览 卷期浏览 The lien-engel property in group rings
The lien-engel property in group rings

 

作者: Gregory T. Lee,  

 

期刊: Communications in Algebra  (Taylor Available online 2000)
卷期: Volume 28, issue 2  

页码: 867-881

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008826866

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

LetFGbe the group ring of a groupGover a fieldFwhose characteristic isp≠ 2 Let * denote the involution onFGwhich sends each group element to its inverse. Let (FG)+and (FG)–denote, respectively, the sets of symmetric and skew elements with respect to *.The conditions under which the group ring is Lien-Engel for somenare known.We show that if either (FG)+or (FG)–- is Lie n-Engel, andGis devoid of 2-elements, thenFGis Lie m-Engel for some m. Furthermore, we completely classify the remaining groups for which (FG)+is Lien-Engel.

 

点击下载:  PDF (412KB)



返 回