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