Unitary subgroup of integral group rings

DOI10.1007/BF02567756zbMath0779.16014OpenAlexW2091396590MaRDI QIDQ5966702

Sudarshan K. Sehgal, Adalbert Bovdi

Publication date: 17 January 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155749

zbMATH Keywords

group of unitsintegral group ring\(f\)- unitarityconditions for normality

Mathematics Subject Classification ID

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

Related Items

Units OF Z(G × C₂), Unitary units in modular group algebras, On the normalizers of the unitary subgroup in an integral group ring, UNITARY UNITS IN INTEGRAL GROUP RINGS, Antisymmetric elements in group rings with an orientation morphism, Symmetric Elements Under Oriented Involutions in Group Rings, NORMALITY OF f-UNITARY UNITS IN AN ALTERNATIVE LOOP RING

Cites Work

• Groups which are normal in the unit groups of their group rings
• Unitary subgroup of the multiplicative group of the integral group ring of a cyclic group
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• UNITARITY OF THE MULTIPLICATIVE GROUP OF AN INTEGRAL GROUP RING
• Principal ideal group rings
• Unnamed Item