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A Hall-Higman type theorem for cyclic groups. (English) Zbl 0782.20004

This result is in the spirit of P. Hall and G. Higman’s celebrated “Theorem B” and extends a result of T. R. Berger. It gives an explicit description of the restriction to \(A\) of a faithful, irreducible representation of a semidirect product of a cyclic group \(A\) with an extraspecial group \(R\).

MSC:

20C15 Ordinary representations and characters
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
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References:

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