On Huppert's conjecture for F4(2)

Hung P. Tong-Viet; Thomas P. Wakefield

On Huppert's conjecture for F₄(2)

Hung P. Tong-Viet
, Thomas P. Wakefield

Mathematics and Statistics

Binghamton University

Youngstown State University

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

4 Scopus citations

Abstract

Let G be a finite group and let cd(G) be the set of all complex irreducible character degrees of G. B. Huppert conjectured that if H is a finite nonabelian simple group such that cd(G) = cd(H), then G ≅ H × A, where A is an abelian group. In this paper, we verify the conjecture for F₄(2).

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	International Journal of Group Theory
Volume	1
Issue number	3
State	Published - 2012

Keywords

Character degrees
Huppert's conjecture
Simple groups

Cite this

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title = "On Huppert's conjecture for F4(2)",

abstract = "Let G be a finite group and let cd(G) be the set of all complex irreducible character degrees of G. B. Huppert conjectured that if H is a finite nonabelian simple group such that cd(G) = cd(H), then G ≅ H × A, where A is an abelian group. In this paper, we verify the conjecture for F4(2).",

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TY - JOUR

T1 - On Huppert's conjecture for F4(2)

AU - Tong-Viet, Hung P.

AU - Wakefield, Thomas P.

PY - 2012

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N2 - Let G be a finite group and let cd(G) be the set of all complex irreducible character degrees of G. B. Huppert conjectured that if H is a finite nonabelian simple group such that cd(G) = cd(H), then G ≅ H × A, where A is an abelian group. In this paper, we verify the conjecture for F4(2).

AB - Let G be a finite group and let cd(G) be the set of all complex irreducible character degrees of G. B. Huppert conjectured that if H is a finite nonabelian simple group such that cd(G) = cd(H), then G ≅ H × A, where A is an abelian group. In this paper, we verify the conjecture for F4(2).

KW - Character degrees

KW - Huppert's conjecture

KW - Simple groups

UR - https://www.scopus.com/pages/publications/84892166565

M3 - Article

SN - 2251-7650

VL - 1

SP - 1

EP - 9

JO - International Journal of Group Theory

JF - International Journal of Group Theory

IS - 3

ER -

On Huppert's conjecture for F₄(2)

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Keywords

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