Group Rings Whose Symmetric Units are Solvable

DOI10.1080/00927870802116539zbMath1175.16032OpenAlexW2065299748MaRDI QIDQ3638413

Ernesto Spinelli, Gregory T. Lee

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802116539

zbMATH Keywords

group algebrasgroup ringsunit groupsgroup identitiessymmetric units

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Bounded Engel and solvable unitary units in group rings ⋮ LIE METABELIAN SKEW ELEMENTS IN GROUP RINGS ⋮ COMMUTATOR IDENTITIES ON SYMMETRIC ELEMENTS OF GROUP ALGEBRAS

Cites Work

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• Group algebras with symmetric units satisfying a group identity.
• Symmetric units and group identities
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• Lie nilpotence of group rings
• A note on u.p. groups
• Group algebras whose units satisfy a group identity. II
• Nilpotent Symmetric Units in Group Rings
• Group rings whose symmetric units are nilpotent
• Lie Solvable Group Rings
• Group Algebras with a Solvable Group of Units^#

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