Group algebras of torsion groups and Lie nilpotence

DOI10.1515/JGT.2009.048zbMath1193.16020MaRDI QIDQ3552305

Antonio Giambruno, Sudarshan K. Sehgal, Francisco César Polcino Milies

Publication date: 15 April 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

group algebrastorsion groupsinvolutionsLie algebrasLie nilpotence

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 (7)

Group algebras and Lie nilpotence. ⋮ Oriented group involutions in group algebras: a survey ⋮ Some classes of semisimple group (and loop) algebras over finite fields. ⋮ The bounded Lie Engel property on torsion group algebras. ⋮ LIE METABELIAN SKEW ELEMENTS IN GROUP RINGS ⋮ Nilpotency of group ring units symmetric with respect to an involution. ⋮ Group rings whose skew elements are bounded Lie Engel.

Cites Work

• Groups whose irreducible representations have degree at most 2.
• Lie properties of symmetric elements in group rings.
• Identities in rings with involutions
• Lie nilpotence of group rings
• ANTISYMMETRIC ELEMENTS IN GROUP RINGS II
• Lie Solvable Group Rings
• ANTISYMMETRIC ELEMENTS IN GROUP RINGS

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