Abstract
Given a maximal subgroup M of a finite group G, a completion of M is any subgroup C of G such that C is not contained in M but each proper subgroup of C which is normal in G is contained in M. A completion C of M is called maximal if there is no completion D of M such that C< D. The aim of this paper is to characterize the finite supersolvable groups by means of maximal completions.
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