Integral group rings with residually nilpotent unit groups

DOI10.1007/BF01304826zbMath0476.16010MaRDI QIDQ1160265

Alfred Weiss, Ian M. Musson

Publication date: 1982

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

zbMATH Keywords

residually nilpotentunit group of integral group ringassociative Lie powers

Mathematics Subject Classification ID

Group rings (16S34) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Unnamed Item, Group rings whose augmentation ideals are residually Lie solvable, Units and augmentation powers in integral group rings, Residually Lie nilpotent group rings, Residual properties of unit loops and augmentation ideals of alternative loop rings, The lower central series of the unit group of an integral group ring, Residual solvability of unit groups of local group rings, Units of group rings and a conjecture of H. J. Zassenhaus, Some remarks on the unit groups of integral group rings, Integral group rings: Groups of units and classical K-theory

Cites Work

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• The residual nilpotency of the augmentation ideal and the residual nilpotency of some classes of groups
• Group rings and their augmentation ideals
• Integral group rings with nilpotent unit groups
• Polynomial Ideals in Group Rings
• On the units of cyclotomic fields