Groups with exactly one irreducible character of degree divisible by $p$

Daniel Goldstein; Robert Guralnick; Mark Lewis; Alexander Moretó; Gabriel Navarro; Huu Tiep Pham

doi:10.2140/ant.2014.8.397

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Home > Journals > Algebra Number Theory > Volume 8 > Issue 2 > Article

2014 Groups with exactly one irreducible character of degree divisible by $p$

Daniel Goldstein, Robert Guralnick, Mark Lewis, Alexander Moretó, Gabriel Navarro, Huu Tiep Pham

Algebra Number Theory 8(2): 397-428 (2014). DOI: 10.2140/ant.2014.8.397

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Abstract

Let $p$ be a prime. We characterize those finite groups which have precisely one irreducible character of degree divisible by $p$ .

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Daniel Goldstein. Robert Guralnick. Mark Lewis. Alexander Moretó. Gabriel Navarro. Huu Tiep Pham. "Groups with exactly one irreducible character of degree divisible by $p$." Algebra Number Theory 8 (2) 397 - 428, 2014. https://doi.org/10.2140/ant.2014.8.397

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Received: 20 February 2013; Revised: 6 May 2013; Accepted: 11 July 2013; Published: 2014

First available in Project Euclid: 20 December 2017

zbMATH: 1302.20010

MathSciNet: MR3212861

Digital Object Identifier: 10.2140/ant.2014.8.397

Subjects:

Primary: 20C15

Keywords: character degrees , characters , finite groups

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Daniel Goldstein, Robert Guralnick, Mark Lewis, Alexander Moretó, Gabriel Navarro, Huu Tiep Pham "Groups with exactly one irreducible character of degree divisible by $p$," Algebra & Number Theory, Algebra Number Theory 8(2), 397-428, (2014)

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