10 citations · 38 across the 20 of their papers we have counts for
4 papers · 1 filter
Computing subalgebras and -gradings of simple Lie algebras over finite fields
Bettina Eick, Tobias Moede
This paper introduces two new algorithms for Lie algebras over finite fields and applies them to the investigate the known simple Lie algebras of dimension at most over the fi…
Graded Lie algebras of Cartan type in characteristic 2
Tara Brough, Bettina Eick
We investigate the graded Lie algebras of Cartan type , and in characteristic 2 and determine their simple constituents and some exceptional isomorphisms between them. W…
The isomorphism problem for graded algebras and its application to mod-p cohomology rings of small p-groups
Bettina Eick, Simon King
The mod-p cohomology ring of a non-trivial finite p-group is an infinite dimensional, finitely presented graded unital algebra over the field with p elements, with generators in po…
Coclass theory for nilpotent semigroups via their associated algebras
Andreas Distler, Bettina Eick
Coclass theory has been a highly successful approach towards the investigation and classification of finite nilpotent groups. Here we suggest a similar approach for finite nilpoten…