Generalized dimension subgroups and derived functors

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• 作者：Roman Mikhailov^a ; ^{romanvm@mi.ras.ru" class="auth_mail" title="E-mail the corresponding author} ; Inder Bir S. Passi^b ; ^c ; ^{ibspassi@yahoo.co.in" class="auth_mail" title="E-mail the corresponding author}
• 关键词：18A30 ; 18E25 ; 20C05 ; 20C07
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：220
• 期：6
• 页码：2143-2163
• 全文大小：402 K

文摘

Every two-sided ideal a$\mathfrak{a}$ in the integral group ring Z[G]$\mathbb{Z}[G]$ of a group G   determines a normal subgroup G∩(1+a)$G\cap (1+\mathfrak{a})$ of G. In this paper certain problems related to the identification of such subgroups, and their relationship with derived functors in the sense of Dold–Puppe, are discussed.