Title

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

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