Commutativity of symmetric elements in group rings

DOI10.1515/JGT.2006.043zbMath1111.16025OpenAlexW2041101847WikidataQ122160302 ScholiaQ122160302MaRDI QIDQ3413640

Osnel Broche Cristo

Publication date: 13 December 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2006.043

zbMATH Keywords

commutativity theoremstorsion groupsinvolutionsgroup ringssymmetric elementsunit groupssymmetric units

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 (7)

Oriented group involutions in group algebras: a survey ⋮ Star group identities on units of group algebras ⋮ Normal group algebras ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS ⋮ ANTISYMMETRIC ELEMENTS IN GROUP RINGS II ⋮ Lie properties of symmetric elements in group rings. II. ⋮ Lie properties of symmetric elements in group rings.

Cites Work

• Symmetric units and group identities
• ON SYMMETRIC UNITS IN GROUP ALGEBRAS
• Nilpotent Symmetric Units in Group Rings
• Symmetric units in modular group algebras

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