A Survey on *-Group Identities on Units of Group Rings
DOI10.1080/00927872.2011.611845zbMath1266.16042OpenAlexW2081716037MaRDI QIDQ4908961
Publication date: 8 March 2013
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2011.611845
group algebrastorsion groupsinvolutionsgroup ringspolynomial identitiesunit groupsrings with involutiongroup identitiessymmetric unitsunits in group rings
Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Units, groups of units (associative rings and algebras) (16U60)
Related Items (4)
Cites Work
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- Groups whose irreducible representations have degree at most 2.
- Star-group identities and groups of units.
- Group algebras with symmetric units satisfying a group identity.
- Nilpotency of group ring units symmetric with respect to an involution.
- Lie properties of symmetric elements in group rings.
- Group identities on symmetric units.
- Symmetric units and group identities
- Group identities on units of rings
- Group identities on units of group algebras
- Identities in rings with involutions
- Group identities on units and symmetric units of group rings.
- Free Subgroups of Units in Group Rings
- Group algebras with units satisfying a group identity
- Group algebras with units satisfying a group identity II
- Group algebras whose units satisfy a group identity
- Group algebras whose units satisfy a group identity. II
- On Symmetric Elements and Symmetric Units in Group Rings
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