Abstract
Let F be a field of characteristic different from 2 and G a group. We examine the conditions under which the symmetric elements in FG are Lie nilpotent, bounded Lie Engel, or Lie solvable. For Lie solvability, some restrictions upon G are necessary.
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© 2010 Springer London
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Lee, G.T. (2010). Lie Identities on Symmetric Elements. In: Group Identities on Units and Symmetric Units of Group Rings. Algebra and Applications, vol 12. Springer, London. https://doi.org/10.1007/978-1-84996-504-0_3
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DOI: https://doi.org/10.1007/978-1-84996-504-0_3
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Publisher Name: Springer, London
Print ISBN: 978-1-84996-503-3
Online ISBN: 978-1-84996-504-0
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