12 citations · 16 across the 4 of their papers we have counts for
5 papers
Presenting the Zassenhaus Lie algebra by the Magnus Lie algebra
Ettore Marmo, David Riley, Thomas Weigel
It is shown that the Zassenhaus restricted -Lie algebra of a (pro-p) group G can be presented by the Magnus Lie algebra of G. For the class of (pro-p) groups for which…
On polynomials that are not quite an identity on an associative algebra
Eric Jespers, David Riley, Mayada Shahada
Let be a polynomial in the free algebra over a field , and let be a -algebra. We denote by , $\A_A(f)$ and $\I_A(f)$, respectively, the `verbal' subspace, sub…
Group identities on the units of algebraic algebras with applications to restricted enveloping algebras
Eric Jespers, David Riley, Salvatore Siciliano
An algebra is called a GI-algebra if its group of units satisfies a group identity. We provide positive support for the following two open problems. 1. Does every algebraic GI-alge…
Group algebras and enveloping algebras with nonmatrix and semigroup identities
David M. Riley, Mark C. Wilson
Let K be a field of positive characteristic p, let R be either a group algebra K[G] or a restricted enveloping algebra u(L), and let I be the augmentation ideal of R. We first char…
Associative algebras satisfying a semigroup identity
David M. Riley, Mark C. Wilson
Denote by (R,.) the multiplicative semigroup of an associative algebra R over an infinite field, and let (R,*) represent R when viewed as a semigroup via the circle operation x*y=x…