Groups with exactly one irreducible character of degree divisible by P

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

doi:10.2140/ant.2014.8.397

Groups with exactly one irreducible character of degree divisible by P

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

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	397-428
Number of pages	32
Journal	Algebra and Number Theory
Volume	8
Issue number	2
DOIs	https://doi.org/10.2140/ant.2014.8.397
State	Published - 2014

Keywords

Character degrees
Characters
Finite groups

ASJC Scopus subject areas

Algebra and Number Theory

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10.2140/ant.2014.8.397

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title = "Groups with exactly one irreducible character of degree divisible by P",

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

keywords = "Character degrees, Characters, Finite groups",

author = "Daniel Goldstein and Guralnick, {Robert M.} and Lewis, {Mark L.} and Alexander Moret{\'o} and Gabriel Navarro and Tiep, {Pham Huu}",

year = "2014",

doi = "10.2140/ant.2014.8.397",

language = "English (US)",

volume = "8",

pages = "397--428",

journal = "Algebra and Number Theory",

issn = "1937-0652",

publisher = "Mathematical Sciences Publishers",

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T1 - Groups with exactly one irreducible character of degree divisible by P

AU - Goldstein, Daniel

AU - Guralnick, Robert M.

AU - Lewis, Mark L.

AU - Moretó, Alexander

AU - Navarro, Gabriel

AU - Tiep, Pham Huu

PY - 2014

Y1 - 2014

N2 - Let p be a prime. We characterize those finite groups which have precisely one irreducible character of degree divisible by p.

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

KW - Character degrees

KW - Characters

KW - Finite groups

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U2 - 10.2140/ant.2014.8.397

DO - 10.2140/ant.2014.8.397

M3 - Article

AN - SCOPUS:84902959813

SN - 1937-0652

VL - 8

SP - 397

EP - 428

JO - Algebra and Number Theory

JF - Algebra and Number Theory

IS - 2

ER -

Groups with exactly one irreducible character of degree divisible by P

Abstract

Keywords

ASJC Scopus subject areas

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