The Cocycle structure of the Alexander $f$-quandles on finite fields

Indu Rasika Churchill, Mohamed Elhamdadi, Neranga Fernando

We determine the second, third, and fourth cohomology groups of Alexander $f$-quandles of the form ${\mathbb{F}}_q[T,S]/(T-\omega ,S-\beta )$, where ${\mathbb{F}}_q$ denotes the finite field of…