Ulm-Kaplansky invariants of S(KG)/G

• Autorzy: P. V. Danchev
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16S34: Group rings , Laurent polynomial rings
• 20K20: Torsion-free groups, infinite rank
• 16U60: Units, groups of units
• 20K10: Torsion groups, primary groups and generalized primary groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 2
• Strony: 147-156

Daty

wydano

2005

Twórcy

autor

P. V. Danchev

• 13, General Kutuzov Street, block 7, floor 2, flat 4, 4003 Plovdiv, Bulgaria

Identyfikatory

DOI

10.4064/ba53-2-4