A Frobenius group is a type of group that is a nontrivial semidirect product of a normal subgroup and a complementary subgroup, where the action of the complementary subgroup on the normal subgroup has certain properties. Specifically, in a Frobenius group, every non-identity element of the complementary subgroup acts without fixed points on the normal subgroup. This structure is essential for understanding group extensions and the interplay between normal and complement subgroups.
congrats on reading the definition of Frobenius Group. now let's actually learn it.