Abstract
This is an introduction to Clifford theory of induced representations from normal subgroups of finite groups. As an application, a complete explicit description of the irreducible representations of a class of metacyclic groups and of the groups with a subgroup N of index two (in terms of the representations of N) is given.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 50, Functional Analysis, 2007.
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Ceccherini-Silberstein, T., Scarabotti, F. & Tolli, F. Clifford theory and applications. J Math Sci 156, 29–43 (2009). https://doi.org/10.1007/s10958-008-9255-4
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DOI: https://doi.org/10.1007/s10958-008-9255-4