ANTISYMMETRIC ELEMENTS IN GROUP RINGS

DOI10.1142/S0219498805001228zbMath1084.16022MaRDI QIDQ5703214

Eric Jespers, Manuel Ruiz Marin

Publication date: 8 November 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

unitsinvolutionsgroup ringspolynomial identitiesLie ringsantisymmetric elements

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (9)

Group algebras and Lie nilpotence. ⋮ Some classes of semisimple group (and loop) algebras over finite fields. ⋮ Skew-symmetric elements of rational group algebras ⋮ Lie derived length and involutions in group algebras. ⋮ Group algebras of torsion groups and Lie nilpotence ⋮ On the Lie algebra of skew-symmetric elements of an enveloping algebra ⋮ ANTISYMMETRIC ELEMENTS IN GROUP RINGS II ⋮ Antisymmetric elements in group rings with an orientation morphism ⋮ Skew-symmetric Elements in Nonlinear Involutions in Group Rings

Cites Work

• Unitary units and skew elements in group algebras.
• Identities in rings with involutions
• Lie nilpotence of group rings
• Lie algebra associated with linear group
• Unnamed Item

This page was built for publication: ANTISYMMETRIC ELEMENTS IN GROUP RINGS