The Cocycle Structure of the Alexander f-quandles on Finite Fields
Document Type
Article
Publication Date
2018
Keywords
Quandle, f-quandle, cohomology, Alexander quandle
Digital Object Identifier (DOI)
https://doi.org/10.1142/S0219498818501906
Abstract
We determine the second, third, and fourth cocycle groups of Alexander f-quandles of the form Fq[T,S]/(T−ω,S−β), where Fq denotes the finite field of order q, ω∈Fq∖{0,1}, and β∈Fq. We also state three conjectures about second, third, and fourth cohomology groups of these Alexander f-quandles.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Journal of Algebra and Its Applications, v. 17, issue 1, art. 1850190
Scholar Commons Citation
Churchill, Indu Rasika; Elhamdadi, Mohamed; and Fernando, Neranga, "The Cocycle Structure of the Alexander f-quandles on Finite Fields" (2018). Mathematics and Statistics Faculty Publications. 98.
https://digitalcommons.usf.edu/mth_facpub/98
