Finite groups with odd sylow normalizers

Robert M. Guralnick; Gabriel Navarro; Pham Huu Tiep

doi:10.1090/proc/13223

Finite groups with odd sylow normalizers

Robert M. Guralnick, Gabriel Navarro, Pham Huu Tiep

Mathematics

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

6 Scopus citations

Abstract

We determine the non-abelian composition factors of the finite groups with Sylow normalizers of odd order. As a consequence, among others, we prove the McKay conjecture and the Alperin weight conjecture for these groups at these primes.

Original language	English (US)
Pages (from-to)	5129-5139
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	12
DOIs	https://doi.org/10.1090/proc/13223
State	Published - 2016

Keywords

Alperin’s weight conjecture
McKay conjecture
Sylow normalizers

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/proc/13223

Cite this

@article{b2331bf400c344d1a78e57789f3f9b3e,

title = "Finite groups with odd sylow normalizers",

abstract = "We determine the non-abelian composition factors of the finite groups with Sylow normalizers of odd order. As a consequence, among others, we prove the McKay conjecture and the Alperin weight conjecture for these groups at these primes.",

keywords = "Alperin{\textquoteright}s weight conjecture, McKay conjecture, Sylow normalizers",

author = "Guralnick, \{Robert M.\} and Gabriel Navarro and Tiep, \{Pham Huu\}",

note = "Publisher Copyright: {\textcopyright} 2016 American Mathematical Society.",

year = "2016",

doi = "10.1090/proc/13223",

language = "English (US)",

volume = "144",

pages = "5129--5139",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "12",

}

TY - JOUR

T1 - Finite groups with odd sylow normalizers

AU - Guralnick, Robert M.

AU - Navarro, Gabriel

AU - Tiep, Pham Huu

PY - 2016

Y1 - 2016

N2 - We determine the non-abelian composition factors of the finite groups with Sylow normalizers of odd order. As a consequence, among others, we prove the McKay conjecture and the Alperin weight conjecture for these groups at these primes.

AB - We determine the non-abelian composition factors of the finite groups with Sylow normalizers of odd order. As a consequence, among others, we prove the McKay conjecture and the Alperin weight conjecture for these groups at these primes.

KW - Alperin’s weight conjecture

KW - McKay conjecture

KW - Sylow normalizers

UR - https://www.scopus.com/pages/publications/84992437256

UR - https://www.scopus.com/inward/citedby.url?scp=84992437256&partnerID=8YFLogxK

U2 - 10.1090/proc/13223

DO - 10.1090/proc/13223

M3 - Article

AN - SCOPUS:84992437256

SN - 0002-9939

VL - 144

SP - 5129

EP - 5139

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

ER -

Finite groups with odd sylow normalizers

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this