COMMUTATIVITY OF SKEW SYMMETRIC ELEMENTS IN GROUP RINGS

DOI10.1017/S0013091504000896zbMath1127.16024MaRDI QIDQ3594997

Osnel Broche Cristo, Francisco César Polcino Milies

Publication date: 9 August 2007

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

commutativity theoremsinvolutionsgroup ringsunit groupsmultiplicative groupssymmetric unitsskew symmetric elements

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 (7)

Oriented group involutions in group algebras: a survey ⋮ Star group identities on units of group algebras ⋮ Skew-symmetric elements of rational group algebras ⋮ On the Lie algebra of skew-symmetric elements of an enveloping algebra ⋮ ANTISYMMETRIC ELEMENTS IN GROUP RINGS II ⋮ Lie properties of symmetric elements in group rings. ⋮ Skew-symmetric Elements in Nonlinear Involutions in Group Rings

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