Abstract
an integer when X is faithful. Such (G, X) is called a sharp pair of type L* and X a sharp character provided B(n)=l. This concept generalizes that of sharply multiply―transitive permutation groups, where a rich theory of sharp pairs has been developed and many examples are known ([2], [3], [6]). Moreover, F. Blichfeldt showed that the number B(l) defined by (a(l)/\G\)U (l―k) is an algebraic integer for any
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