On the generators of subgroups of unit groups of group rings

DOI10.1007/BF02585437zbMath0727.16019MaRDI QIDQ3349056

Ashwani K. Bhandari

Publication date: 1990

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)

zbMATH Keywords

generatorsgroup of unitsfinite groupmetacyclic groupintegral group ringsubgroup of finite index

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Generators, relations, and presentations of groups (20F05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Torsion units of integral group rings of metacyclic groups
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• \(K\)-theory and stable algebra
• On the group S L 2 over orders of arithmetic type.
• THE STRUCTURE OF CLASSICAL ARITHMETIC GROUPS OF RANK GREATER THAN ONE
• ON THE GROUPSL₂OVER DEDEKIND RINGS OF ARITHMETIC TYPE