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June 2012 Extensions of cyclic p-groups which preserve the irreducibilities of induced characters
Katsusuke SEKIGUCHI
Hokkaido Math. J. 41(2): 185-208 (June 2012). DOI: 10.14492/hokmj/1340714412

Abstract

For a prime p, we denote by Bn the cyclic group of order pn. Let ϕ be a faithful irreducible character of Bn, where p is an odd prime. We study the p-group G containing Bn such that the induced character ϕG is also irreducible. Set [NG(Bn):Bn] = pm and [G:Bn] = pM. The purpose of this paper is to determine the structure of G under the hypothesis [NG(Bn):Bn]2dpn, where d is the smallest integer not less than M/m.

Citation

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Katsusuke SEKIGUCHI. "Extensions of cyclic p-groups which preserve the irreducibilities of induced characters." Hokkaido Math. J. 41 (2) 185 - 208, June 2012. https://doi.org/10.14492/hokmj/1340714412

Information

Published: June 2012
First available in Project Euclid: 26 June 2012

zbMATH: 1253.20006
MathSciNet: MR2977044
Digital Object Identifier: 10.14492/hokmj/1340714412

Subjects:
Primary: 20C15

Rights: Copyright © 2012 Hokkaido University, Department of Mathematics

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Vol.41 • No. 2 • June 2012
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