Let G be an infinite abelian p-group and let K be a field of the first kind with respect to p of characteristic different from p such that or . The main result of the paper is the computation of the Ulm-Kaplansky functions of the factor group S(KG)/G of the normalized Sylow p-subgroup S(KG) in the group ring KG modulo G. We also characterize the basic subgroups of S(KG)/G by proving that they are isomorphic to S(KB)/B, where B is a basic subgroup of G.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-2-4,
author = {P. V. Danchev},
title = {Ulm-Kaplansky invariants of S(KG)/G},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {53},
year = {2005},
pages = {147-156},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-2-4}
}
P. V. Danchev. Ulm-Kaplansky invariants of S(KG)/G. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) pp. 147-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-2-4/