Abstract: Let G be a finite group. We extend Alan Camina′s theorem on conjugacy class sizes which asserts that if the conjugacy class sizes of G are exactly {1; pa; qb; paqb}, where p and q are two distinct primes and a and b are integers, then G is nilpotent.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.