10 citations · 38 across the 20 of their papers we have counts for
4 papers · 1 filter
Deciding if a variety forms an algebraic group
John Abbott, Bettina Eick
Let be a positive integer and let be polynomials in indeterminates over an algebraically closed field . We describe an algorithm to decide if the in…
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…
Cochain sequences and the Quillen category of a coclass family
Bettina Eick, David J. Green
We introduce the concept of an infinite cochain sequence and initiate a theory of homological algebra for them. We show how these sequences simplify and improve the construction of…
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…