On Huppert's conjecture for G2(q), q≥7

Hung P. Tong-Viet; Thomas P. Wakefield

doi:10.1016/j.jpaa.2012.03.028

On Huppert's conjecture for G2(q), q≥7

Hung P. Tong-Viet
, Thomas P. Wakefield

Mathematics and Statistics

Binghamton University

Youngstown State University

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

15 Scopus citations

Abstract

Let G be a finite group and let cd(G) be the set of all complex irreducible character degrees of G. Bertram 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 the family of simple exceptional groups of Lie type G2(q) for q≥7.

Original language	English
Pages (from-to)	2720-2729
Number of pages	10
Journal	Journal of Pure and Applied Algebra
Volume	216
Issue number	12
DOIs	https://doi.org/10.1016/j.jpaa.2012.03.028
State	Published - Dec 2012

Access to Document

10.1016/j.jpaa.2012.03.028

Cite this

@article{4f2364be477a4972bfa6cea222428401,

title = "On Huppert's conjecture for G2(q), q≥7",

abstract = "Let G be a finite group and let cd(G) be the set of all complex irreducible character degrees of G. Bertram 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 the family of simple exceptional groups of Lie type G2(q) for q≥7.",

author = "Tong-Viet, \{Hung P.\} and Wakefield, \{Thomas P.\}",

year = "2012",

month = dec,

doi = "10.1016/j.jpaa.2012.03.028",

language = "English",

volume = "216",

pages = "2720--2729",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "12",

}

TY - JOUR

T1 - On Huppert's conjecture for G2(q), q≥7

AU - Tong-Viet, Hung P.

AU - Wakefield, Thomas P.

PY - 2012/12

Y1 - 2012/12

N2 - Let G be a finite group and let cd(G) be the set of all complex irreducible character degrees of G. Bertram 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 the family of simple exceptional groups of Lie type G2(q) for q≥7.

AB - Let G be a finite group and let cd(G) be the set of all complex irreducible character degrees of G. Bertram 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 the family of simple exceptional groups of Lie type G2(q) for q≥7.

UR - https://www.scopus.com/pages/publications/84863115100

U2 - 10.1016/j.jpaa.2012.03.028

DO - 10.1016/j.jpaa.2012.03.028

M3 - Article

SN - 0022-4049

VL - 216

SP - 2720

EP - 2729

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 12

ER -

On Huppert's conjecture for G2(q), q≥7

Abstract

Access to Document

Other files and links

Fingerprint

Cite this