Groups in which every Lagrange subset is a factor

We determine the finite groups G in which every subset A \subseteq G of cardinality dividing the order of G is a factor, i.e. has a complement B \subseteq G of cardinality |G|/|A| such that G = A \cdot B or G = B \cdot A.

کلیدواژه ها:

Finite group ، group factorization into subsets ، converse of Lagrange theorem