Residual solvability of the unit groups of rational group algebras

DOI10.1007/BF01195354zbMath0635.16008MaRDI QIDQ1097334

Ashwani K. Bhandari, Inder Bir Singh Passi

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian groupunit groupquaternion algebraderived seriesalgebraic number fieldresidual solvabilityfinite elementary abelian 2-group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

Residual solvability of unit groups of local group rings

Cites Work

• Nilpotent elements in group rings
• Représentation de \(-1\) comme somme de carrés dans un corps cyclotomique quelconque
• On the multiplicative group of simple algebras and orthogonal groups of three dimensions

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