Lie properties of symmetric elements in group rings

A Giambruno, CP Milies, SK Sehgal - Journal of Algebra, 2009 - Elsevier
Lie properties of symmetric elements in group rings Page 1 Journal of Algebra 321 (2009)
890–902 Contents lists available at ScienceDirect Journal of Algebra www.elsevier.com/locate/jalgebra …

[HTML][HTML] Lie properties of symmetric elements in group rings II

GT Lee, SK Sehgal, E Spinelli - Journal of Pure and Applied Algebra, 2009 - Elsevier
Let F be a field of characteristic different from 2, and G a group with involution∗. Write (FG)+
for the set of elements in the group ring FG that are symmetric with respect to the induced …

Group identities on symmetric units

A Giambruno, CP Milies, SK Sehgal - Journal of Algebra, 2009 - Elsevier
Let F be an infinite field of characteristic different from 2, G a group and∗ an involution of G
extended by linearity to an involution of the group algebra FG. Here we completely …

Involutions and anticommutativity in group rings

EG Goodaire, CP Milies - Canadian Mathematical Bulletin, 2013 - cambridge.org
Involutions and Anticommutativity in Group Rings Page 1 Canad. Math. Bull. Vol. 56 (2), 2013
pp. 344–353 http://dx.doi.org/10.4153/CMB-2011-178-2 c Canadian Mathematical Society …

Some classes of semisimple group (and loop) algebras over finite fields

RA Ferraz, EG Goodaire, CP Milies - Journal of Algebra, 2010 - Elsevier
We determine the structure of the semisimple group algebra of certain groups over the
rationals and over those finite fields where the Wedderburn decompositions have the least …

Group algebras of torsion groups and Lie nilpotence

A Giambruno, CP Milies, SK Sehgal - 2010 - degruyter.com
Group algebras of torsion groups and Lie nilpotence Page 1 J. Group Theory 13 (2010), 221–231
DOI 10.1515/JGT.2009.048 Journal of Group Theory ( de Gruyter 2010 Group algebras of …

On the Lie algebra of skew-symmetric elements of an enveloping algebra

S Siciliano - Journal of Pure and Applied Algebra, 2011 - Elsevier
Let L be a restricted Lie algebra over a field of characteristic p> 2 and denote by u (L) its
restricted enveloping algebra. We establish when the Lie algebra of skew-symmetric …

Unitary units satisfying a group identity

O Broche, A Dooms, M Ruiz - Communications in Algebra, 2009 - Taylor & Francis
Let K be a nonabsolute field of characteristic p≠ 2, G a locally finite group and KG its group
algebra. Let ϕ: KG→ KG denote the K-linear extension of an involution ϕ defined on G. In …

The bounded Lie Engel property on torsion group algebras

F Catino, GT Lee, E Spinelli - Journal of Pure and Applied Algebra, 2011 - Elsevier
Let F be a field of characteristic different from 2 and G a group with involution∗. Extend the
involution to the group ring FG, and write (FG)− for the Lie subalgebra of FG consisting of the …

Lie identities on skew elements in group algebras

GT Lee, SK Sehgal, E Spinelli - Contemp. Math, 2015 - books.google.com
Let F be a field and G a group having an involution∗. Extend∗ to an involution of the group
ring, FG. We discuss recent results concerning Lie properties satisfied by the set of skew …