Symmetric units satisfying a group identity.

DOI10.1016/j.jalgebra.2006.09.014zbMath1118.16023OpenAlexW2047222204MaRDI QIDQ876407

Ann Dooms, Manuel Ruiz Marin

Publication date: 18 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.09.014

zbMATH Keywords

group algebraslocally finite groupspolynomial identitiesunit 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 (6)

Free symmetric and unitary pairs in group algebras with involution ⋮ Oriented group involutions in group algebras: a survey ⋮ Group rings whose unitary units are nilpotent. ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS ⋮ Unitary Units Satisfying a Group Identity ⋮ Group identities on symmetric units.

Cites Work

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• Group algebras whose units satisfy a group identity
• Group algebras whose units satisfy a group identity. II
• FREE SYMMETRIC AND UNITARY PAIRS IN DIVISION RINGS WITH INVOLUTION
• On Symmetric Elements and Symmetric Units in Group Rings
• On the Group Ring

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