7 papers
On the Classification of Perfect Prishchepov Groups
Layla Sorkatti, Ihechukwu Chinyere
The Prishchepov groups form a broad class of cyclically presented groups. We verify a conjectural characterisation of the perfect groups in this family. We first pro…
Additive Invariants of Open Petri Nets
Benjamin Merlin Bumpus, Sophie Libkind, Jordy Lopez Garcia +2
We classify all additive invariants of open Petri nets: these are -valued invariants which are additive with respect to sequential and parallel composition of open Petr…
Nilpotent symplectic alternating algebras III
Layla Sorkatti, Gunnar Traustason
In this paper we finish our classification of nilpotent symplectic alternating algebras of dimension 10 over any field F.
Nilpotent symplectic alternating algebras II
Layla Sorkatti, Gunnar Traustason
In this paper and its sequel we continue our study of nilpotent symplectic alternating algebras. In particular we give a full classification of such algebras of dimension over…
Nilpotent Symplectic Alternating Algebras
Layla Hamad Elnil Mugbil Sorkatti
We develop a structure theory for nilpotent symplectic alternating algebras. We then give a classification of all nilpotent symplectic alternating algebras of dimension up to 10 ov…
Nilpotent symplectic alternating algebras I
Layla Sorkatti, Gunnar Traustason
We develop a structure theory for nilpotent symplectic alternating algebras.