On the heights of group characters

Haggarty, R. J.

doi:10.1090/S0002-9939-1977-0435199-1

On the heights of group characters
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by R. J. Haggarty

Proc. Amer. Math. Soc. 63 (1977), 213-216

DOI: https://doi.org/10.1090/S0002-9939-1977-0435199-1

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Abstract:

For a finite p-soluble group G we derive a bound on the heights of the irreducible complex characters of G lying in a p-block B. This bound depends on the prime p and the exponent d of a defect group of B. We show by examples that this bound is of the right order of magnitude.

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