The subgroup determined by a certain ideal in a free group ring

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• 作者：Roman Mikhailov^a ; ^b ; ^{romanvm@mi.ras.ru" class="auth_mail" title="E-mail the corresponding author} ; Inder Bir S. Passi^c ; ^d ; ^{ibspassi@yahoo.co.in" class="auth_mail" title="E-mail the corresponding author}
• 关键词：18E25 ; 20C05 ; 20C07 ; 20E05
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：1 March 2016
• 年：2016
• 卷：449
• 期：Complete
• 页码：400-407
• 全文大小：246 K

文摘

For normal subgroups R and S of a free group F  , an identification of the subgroup F∩(1+rfs)$F\cap (1+\mathfrak{r}\mathfrak{f}\mathfrak{s})$ is derived, and it is shown that the quotient is, in general, non-trivial.