Torsion units in matrix group rings

DOI10.1080/00927879208824400zbMath0756.16007OpenAlexW2029583948MaRDI QIDQ3991567

Indar S. Luthar, Inder Bir Singh Passi

Publication date: 28 June 1992

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879208824400

zbMATH Keywords

conjugacy classesgroup of unitsgroup ringZassenhaus conjectureaugmentation idealtorsion unitpartial augmentationabelian subgroup of index 2

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 (7)

Semisimple elements in group algebras ⋮ Unnamed Item ⋮ Cliff-Weiss inequalities and the Zassenhaus conjecture ⋮ Group algebras. ⋮ A counterexample to the first Zassenhaus conjecture ⋮ Bass conjecture and the group trace property ⋮ On the trace of idempotent matrices over group algebras.

Cites Work

• Torsion units in integral group rings of some metabelian groups. II
• Partial augmentations and jordan decomposition in group ring
• On the torsion units op integral dihedral group rings
• The Units of Group-Rings

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