Group rings whose symmetric elements are Lie nilpotent

DOI10.1090/S0002-9939-99-05155-2zbMath0929.16023OpenAlexW1604749687WikidataQ115289171 ScholiaQ115289171MaRDI QIDQ4257644

Gregory T. Lee

Publication date: 31 August 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05155-2

zbMATH Keywords

finite \(p\)-groupsinvolutionsgroup ringssymmetric elementsLie nilpotent rings

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)

Related Items (18)

Unnamed Item ⋮ Nilpotent Symmetric Units in Group Rings ⋮ Group rings whose symmetric units are nilpotent ⋮ Oriented group involutions in group algebras: a survey ⋮ Lie identities on symmetric elements of restricted enveloping algebras ⋮ Star group identities on units of group algebras ⋮ Anticommutativity of symmetric elements under generalized oriented involutions ⋮ Lie Properties of Symmetric Elements Under Oriented Involutions ⋮ Nilpotency Indices of Symmetric Elements of Group Algebras ⋮ Lie *-Nilpotence of Group Rings ⋮ Groups whose irreducible representations have degree at most 2. ⋮ On the Lie algebra of skew-symmetric elements of an enveloping algebra ⋮ Group algebras whose symmetric and skew elements are Lie solvable ⋮ The lien-engel property in group rings ⋮ Lie properties of symmetric elements in group rings. II. ⋮ Lie properties of symmetric elements in group rings. ⋮ On Symmetric Elements and Symmetric Units in Group Rings ⋮ COMMUTATOR IDENTITIES ON SYMMETRIC ELEMENTS OF GROUP ALGEBRAS

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