Abstract
Let [Formula: see text] be a finite group and let [Formula: see text] be an irreducible character of [Formula: see text]. If [Formula: see text] has a unique minimal normal subgroup, then [Formula: see text] is called monolithic. The character [Formula: see text] is said to be imprimitive if [Formula: see text] is induced from a character of a proper subgroup of [Formula: see text]. In this paper, we classify the finite solvable groups having exactly two imprimitive monolithic characters whose kernels intersect trivially.
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