2009/01/30 by Johanna Hennig, Hennig, Johanna, Sam Nelson +1 · 1 citation
Computer Science · Mathematics · #57M25 #57M27 #Advanced Combinatorial Mathematics #Algebra over a field #Column (typography) #Combinatorics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry #Group (periodic table) #Homomorphism #Invariant (physics) #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum Algebra (math.QA) #math.GT #math.QA #msc:57M25 #msc:57M27 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.0902.0028
published in arXiv (Cornell University) (Cornell University) · 10 pages; substantially revised. New version uses more general birack approach, with previous examples as special cases
openalex publication_date 2009/01/30 · arxiv created 2010/07/13 · arxiv updated 2010/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The column group is a subgroup of the symmetric group on the elements of a finite blackboard birack generated by the column permutations in the birack matrix. We use subgroups of the column group associated to birack homomorphisms to define an enhancement of the integral birack counting invariant and give examples which show that the enhanced invariant is stronger than the unenhanced invariant.