Group rings whose skew elements are bounded Lie Engel

• Gregory T. Lee ^[1] ; Ernesto Spinelli ^[2]
  1. [1] Lakehead University

     Lakehead University

     Canadá

     
  2. [2] Università degli Studi di Roma “La Sapienza”, Italy
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 8 (August 2015), 2015, págs. 3181-3194
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.10.008
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• Resumen

  • Let FG be the group ring of a group G over a field F of characteristic different from 2, and let FG have an involution induced from one on G. Assuming that G has no elements of order 2 and no dihedral group involved, we determine the conditions under which the set of skew elements of FG is bounded Lie Engel. Furthermore, we make the determination with no restrictions upon G when the involution on FG is classical.