Partial augmentations and jordan decomposition in group ring

DOI10.1080/00927879008824023zbMath0711.16018OpenAlexW2005432583MaRDI QIDQ3495506

Indar S. Luthar, Alfred W. Hales, Inder Bir Singh Passi

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824023

zbMATH Keywords

conjugacy classescomplex group algebracharacteristic rootsnilpotent elementNoetherian domainJordan decompositionsemisimple elementtorsion unitgroup rings of finite groupsdirect sum of full matrix rings

Mathematics Subject Classification ID

Group rings (16S34) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

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MULTIPLICATIVE JORDAN DECOMPOSITION IN INTEGRAL GROUP RINGS OF GROUPS OF ORDER 16, Torsion units in matrix group rings, Group algebras., Algebraic Elements in Group Rings, Jordan decomposition and hypercentral units in integral group rings, Group rings and Jordan decomposition, On partial augmentations of elements in integral group rings, Integral group rings with Jordan decomposition, The multiplicative Jordan decomposition in group rings. II., TORSION UNITS IN INTEGRAL GROUP RINGS OF CONWAY SIMPLE GROUPS, ALGEBRAIC ELEMENTS IN ALTERNATIVE LOOP ALGEBRAS, HeLP: a GAP package for torsion units in integral group rings, MULTIPLICATIVE JORDAN DECOMPOSITION IN GROUP RINGS OF 2, 3-GROUPS, The multiplicative Jordan decomposition in group rings, Jordan decompositions in alternative loop rings

Cites Work

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