English

Abstract

We give a short self-contained proof of the important classical result that a minimal normal subgroup of a finite group is an internal direct product of isomorphic simple groups (e.g., Theorem 8.6.1 of M. Hall’s The Theory of Groups, The MacMillan Co., 1966; Corollary 5.27 of J. J. Rotman’s An Introduction to the Theory of Groups, Springer Verlag, 1995; Theorem 4.3A (iii) of J. D. Dixon & B. Mortimer’s Permutation Groups, Springer Verlag, 1996).