ANTISYMMETRIC ELEMENTS IN GROUP RINGS II
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Publication:3622764
DOI10.1142/S0219498809003254zbMath1192.16023arXiv0801.4451OpenAlexW4238196112MaRDI QIDQ3622764
Manuel Ruiz Marin, Osnel Broche Cristo, Eric Jespers, Francisco César Polcino Milies
Publication date: 28 April 2009
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.4451
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 (14)
Group algebras and Lie nilpotence. ⋮ Oriented group involutions in group algebras: a survey ⋮ Star-group identities on units of group algebras: the non-torsion case ⋮ Some classes of semisimple group (and loop) algebras over finite fields. ⋮ Skew-symmetric elements of rational group algebras ⋮ The bounded Lie Engel property on torsion group algebras. ⋮ Group algebras of torsion groups and Lie nilpotence ⋮ LIE METABELIAN SKEW ELEMENTS IN GROUP RINGS ⋮ On the Lie algebra of skew-symmetric elements of an enveloping algebra ⋮ Lie properties of symmetric elements in group rings. II. ⋮ Lie properties of symmetric elements in group rings. ⋮ Group identities on symmetric units. ⋮ Skew-symmetric Elements in Nonlinear Involutions in Group Rings ⋮ Group rings whose skew elements are bounded Lie Engel.
Cites Work
- On the Lie ideals of a ring
- Unitary units and skew elements in group algebras.
- Identities in rings with involutions
- Lie nilpotence of group rings
- Commutativity of symmetric elements in group rings
- COMMUTATIVITY OF SKEW SYMMETRIC ELEMENTS IN GROUP RINGS
- Lie algebra associated with linear group
- On Symmetric Elements and Symmetric Units in Group Rings
- ANTISYMMETRIC ELEMENTS IN GROUP RINGS
- Unitary units in group algebras
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