Fermat's Little TheoremExplores Fermat's Little Theorem, its extensions, primality testing algorithms, and the significance of prime numbers in cryptography.
Factorisation in PIDsCovers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.
Applications of Lagrange's TheoremExplores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.