Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order

Izabella Stuhl, Petr Vojtěchovský

There is a one-to-one correspondence between involutory latin quandles and uniquely $2$-divisible Bruck loops. Bruck loops of odd prime power order are centrally nilpotent. Using l…