Let A be an R G-module, where R is an integral domain and G is a soluble group. Suppose that C G(A) = 1 and A/C A(G) is not a noetherian R-module. Let L nnd(G) be the family of all subgroups H of G such that A/C A(H) is not a noetherian R-module. In this paper we study the structure of those G for which L nnd(G) satisfies the maximal condition.
@article{bwmeta1.element.doi-10_2478_s11533-011-0033-z,
author = {Olga Dashkova},
title = {Modules over group rings of soluble groups with a certain condition of maximality},
journal = {Open Mathematics},
volume = {9},
year = {2011},
pages = {922-928},
zbl = {1245.20003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0033-z}
}
Olga Dashkova. Modules over group rings of soluble groups with a certain condition of maximality. Open Mathematics, Tome 9 (2011) pp. 922-928. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0033-z/
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