Finite solvable groups with two imprimitive monolithic characters
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Published:2023-03-13
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Affiliation:
1. Piri Reis University, Maritime Faculty, Department of Marine Engineering, 34940 Istanbul, Turkey
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.
Funder
Scientific Research Projects Coordination Unit of Piri Reis University
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory