Ulm-Kaplansky invariants of S(KG)/G

P. V. Danchev. "Ulm-Kaplansky invariants of S(KG)/G." Bulletin of the Polish Academy of Sciences. Mathematics 53.2 (2005): 147-156. <http://eudml.org/doc/280900>.

@article{P2005,
abstract = {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 $s_p(K) = ℕ $ or $s_p(K) = ℕ ∪ 0$. 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.},
author = {P. V. Danchev},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
language = {eng},
number = {2},
pages = {147-156},
title = {Ulm-Kaplansky invariants of S(KG)/G},
url = {http://eudml.org/doc/280900},
volume = {53},
year = {2005},
}

TY - JOUR
AU - P. V. Danchev
TI - Ulm-Kaplansky invariants of S(KG)/G
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 2
SP - 147
EP - 156
AB - 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 $s_p(K) = ℕ $ or $s_p(K) = ℕ ∪ 0$. 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.
LA - eng
UR - http://eudml.org/doc/280900
ER -