Symmetric Elements Under Oriented Involutions in Group Rings

DOI10.1080/00927870600779181zbMath1106.16033OpenAlexW1971784388MaRDI QIDQ5491371

Osnel Broche Cristo, Francisco César Polcino Milies

Publication date: 11 October 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600779181

zbMATH Keywords

commutativity theoremsgroup ringssymmetric elementssymmetric unitsoriented involutions

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) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Units, groups of units (associative rings and algebras) (16U60)

Related Items (8)

Oriented group involutions in group algebras: a survey ⋮ Anticommutativity of symmetric elements under generalized oriented involutions ⋮ Normal group algebras ⋮ Lie Properties of Symmetric Elements Under Oriented Involutions ⋮ Group algebras whose symmetric and skew elements are Lie solvable ⋮ Antisymmetric elements in group rings with an orientation morphism ⋮ Skew-symmetric Elements in Nonlinear Involutions in Group Rings ⋮ Additive mappings and identities on unit groups of algebraic algebras

Cites Work

• SOME RESULTS ON BICYCLIC UNITS IN AN INTEGRAL GROUP RING
• ON SYMMETRIC UNITS IN GROUP ALGEBRAS
• UNITARITY OF THE MULTIPLICATIVE GROUP OF AN INTEGRAL GROUP RING
• Units OF Z(G × C₂)
• Unitary subgroup of integral group rings
• Unnamed Item

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