Resumen de Elements of prime power order and their conjugacy classes in finite groups

László Héthelyi, Burkhard Külshammer

• We show that, for any positive integer K , there are only finitely many finite groups, up to isomorphism, with exactly conjugacy classes of elements of prime power order. This generalizes a result of E. Landau from 1903. The proof of our generalization makes use of the classification of finite simple groups.