24 citations · 90 across the 17 of their papers we have counts for
18 papers
Dijkgraaf-Witten -invariants for Seifert manifolds
Simon King, Sergei Matveev, Vladimir Tarkaev +1
In this short paper we compute the values of Dijkgraaf-Witten invariants over for all orientable Seifert manifolds with orientable bases.
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…
The Ext algebra of the principal block of the Mathieu group M_11
David J. Green, Simon A. King
We complete the calculation of the Ext algebra of the principal 2-block of the Mathieu group M_11, extending work of Benson-Carlson and of Pawloski - and duplicating work of Genera…
A non-commutative F5 algorithm with an application to the computation of Loewy layers
Simon A. King
We provide a non-commutative version of the F5 algorithm, namely for right-modules over path algebra quotients. It terminates, if the path algebra quotient is a basic algebra. In a…
Persistent homology of groups
Graham Ellis, Simon A. King
We introduce and investigate notions of persistent homology for p-groups and for coclass trees of p-groups. Using computer techniques we show that persistent homology provides fair…
The Mod-2 Cohomology Ring of the Third Conway Group is Cohen-Macaulay
Simon A. King, David J. Green, Graham Ellis
By explicit machine computation we obtain the mod-2 cohomology ring of the third Conway group Co_3. It is Cohen-Macaulay, has dimension 4, and is detected on the maximal elementary…