On the unit groups of rings with involution

MH Bien, BX Hai, DT Hue - Acta Mathematica Hungarica, 2022 - Springer
On the unit groups of rings with involution Page 1 Acta Math. Hungar. DOI: 0 ON THE UNIT
GROUPS OF RINGS WITH INVOLUTION MH BIEN † , BX HAI ∗,† and DT HUE Faculty of …

Group algebras whose symmetric elements are Lie metabelian

F Catino, GT Lee, E Spinelli - Forum Mathematicum, 2014 - degruyter.com
Let F be a field of characteristic p≠ 2 and G a group without 2-elements having an
involution*. Write (FG)+ for the set of elements in the group ring FG that are symmetric with …

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 …

Lie metabelian skew elements in group rings

GT Lee, E Spinelli - Glasgow Mathematical Journal, 2014 - cambridge.org
Let F be a field of characteristic p≠ 2 and G a group without 2-elements having an
involution∗. Extend the involution linearly to the group ring FG, and let (FG)− denote the set …

COMMUTATOR IDENTITIES ON SYMMETRIC ELEMENTS OF GROUP ALGEBRAS

T Juhasz, E TÓTH - Journal of Algebra and Its Applications, 2013 - World Scientific
Let K be a field of odd characteristic p, and let G be the direct product of a finite p-group P≠
1 and a Hamiltonian 2-group. We show that the set of symmetric elements (KG)* of the group …