P-steinberg characters of finite simple groups

Pham Huu Tiep

doi:10.1006/jabr.1997.6791

P-steinberg characters of finite simple groups

Pham Huu Tiep

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

11 Scopus citations

Abstract

LetGbe a finite group andpa prime divisor of |G|. Ap-Steinberg character ofGis an irreducible character χ ofGsuch that χ(x)=±|C_G(x)|_pfor everyp′-elementx∈G. A conjecture of W. Feit states that if a finite simple groupGhas ap-Steinberg character thenGis a finite simple group of Lie type in characteristicp. In this paper we prove this conjecture, using the classification of finite simple groups.

Original language	English (US)
Pages (from-to)	304-319
Number of pages	16
Journal	Journal of Algebra
Volume	187
Issue number	1
DOIs	https://doi.org/10.1006/jabr.1997.6791
State	Published - Jan 1 1997
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1006/jabr.1997.6791

Cite this

@article{9d74a2fa275e48dd95fff59e6dd67e98,

title = "P-steinberg characters of finite simple groups",

abstract = "LetGbe a finite group andpa prime divisor of |G|. Ap-Steinberg character ofGis an irreducible character χ ofGsuch that χ(x)=±|CG(x)|pfor everyp′-elementx∈G. A conjecture of W. Feit states that if a finite simple groupGhas ap-Steinberg character thenGis a finite simple group of Lie type in characteristicp. In this paper we prove this conjecture, using the classification of finite simple groups.",

author = "Tiep, \{Pham Huu\}",

year = "1997",

month = jan,

day = "1",

doi = "10.1006/jabr.1997.6791",

language = "English (US)",

volume = "187",

pages = "304--319",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - P-steinberg characters of finite simple groups

AU - Tiep, Pham Huu

PY - 1997/1/1

Y1 - 1997/1/1

N2 - LetGbe a finite group andpa prime divisor of |G|. Ap-Steinberg character ofGis an irreducible character χ ofGsuch that χ(x)=±|CG(x)|pfor everyp′-elementx∈G. A conjecture of W. Feit states that if a finite simple groupGhas ap-Steinberg character thenGis a finite simple group of Lie type in characteristicp. In this paper we prove this conjecture, using the classification of finite simple groups.

AB - LetGbe a finite group andpa prime divisor of |G|. Ap-Steinberg character ofGis an irreducible character χ ofGsuch that χ(x)=±|CG(x)|pfor everyp′-elementx∈G. A conjecture of W. Feit states that if a finite simple groupGhas ap-Steinberg character thenGis a finite simple group of Lie type in characteristicp. In this paper we prove this conjecture, using the classification of finite simple groups.

UR - https://www.scopus.com/pages/publications/0030672168

UR - https://www.scopus.com/pages/publications/0030672168#tab=citedBy

U2 - 10.1006/jabr.1997.6791

DO - 10.1006/jabr.1997.6791

M3 - Article

AN - SCOPUS:0030672168

SN - 0021-8693

VL - 187

SP - 304

EP - 319

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

P-steinberg characters of finite simple groups

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this