Antisymmetric elements in group rings with an orientation morphism

DOI10.1515/FORUM.2009.020zbMath1179.16023arXiv0705.3106OpenAlexW1971486182MaRDI QIDQ3632755

Osnel Broche, Eric Jespers, Manuel Ruiz Marin

Publication date: 12 June 2009

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3106

zbMATH Keywords

commutativity theoremsgroups of unitsgroups of exponent eightantisymmetric elementsgroup rings with involutiongroups of exponent fourorientation morphisms

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Units, groups of units (associative rings and algebras) (16U60)

Related Items (2)

On the Lie algebra of skew-symmetric elements of an enveloping algebra ⋮ Lie properties of symmetric elements in group rings. II.

Cites Work

• On the Lie ideals of a ring
• Unitary units and skew elements in group algebras.
• Identities in rings with involutions
• SOME RESULTS ON BICYCLIC UNITS IN AN INTEGRAL GROUP RING
• UNITARITY OF THE MULTIPLICATIVE GROUP OF AN INTEGRAL GROUP RING
• Lie nilpotence of group rings
• Lie algebra associated with linear group
• On Symmetric Elements and Symmetric Units in Group Rings
• Symmetric Elements Under Oriented Involutions in Group Rings
• ANTISYMMETRIC ELEMENTS IN GROUP RINGS
• Unitary units in group algebras
• Unitary subgroup of integral group rings

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