Structure of group bases of a group ring

DOI10.1007/BF01152375zbMath0519.20008OpenAlexW2060522356MaRDI QIDQ1054827

Adalbert Bovdi

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01152375

zbMATH Keywords

Sylow 2-subgroupsnormal subgroupslocally finite groupscircle groupnormal complementslattice of normal subgroupsaugmentation idealconjugacy problem for group basesisomorphism problem for integral group ringsperiodic group basis of group ring

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Chains and lattices of subgroups, subnormal subgroups (20E15) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

On circle groups of nilpotent rings of characteristic \(2\) ⋮ A note on normal complement problem ⋮ Integral group rings: Groups of units and classical K-theory

Cites Work

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• Euler characteristics and characters of discrete groups
• Normal complements in mod p-envelopes
• On a Theorem of Bovdi
• Circle Groups of Nilpotent Rings
• Units of group rings

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