Modules over group rings of groups with restrictions on the system of all proper subgroups

We consider the class M of R{modules where R is an associative ring. Let A be a module over a group ring RG, G be a group and let L(G) be the set of all proper subgroups of G. We suppose that if H 2 L(G) then A=CA(H) belongs to M. We study an RG{module A such that G 6= G0, CG(A) = 1. We consider the...

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Bibliographic Details
Main Author: Olga Dashkova
Format: Article
Language:English
Published: University of Isfahan 2015-12-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/pdf_5504_b2fda9c27d76f5bae4d99c57c8252f39.html