Basic subgroups in abelian group rings

DOI10.1023/A:1021779506416zbMath1003.16026OpenAlexW1510539359MaRDI QIDQ3151381

Peter V. Danchev

Publication date: 15 October 2002

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30690

zbMATH Keywords

groups of unitsmodular Abelian group ringslower basic subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Torsion groups, primary groups and generalized primary groups (20K10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

Basic subgroups in modular abelian group algebras

Cites Work

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• Units of commutative modular group algebras
• Invariants of tile sylowp-subgroup of the unit group of a commutative group ring of characteristicp^∗
• The number of basic subgroups of primary groups
• Concerning the number of basic subgroups

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