Home > Research > Publications & Outputs > On a strong form of Oliver’s p-group conjecture.

Electronic data

Links

Text available via DOI:

View graph of relations

On a strong form of Oliver’s p-group conjecture.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

Standard

On a strong form of Oliver’s p-group conjecture. / Green, D.; Héthelyi, L.; Mazza, Nadia.
In: Journal of Algebra, Vol. 342, No. 1, 15.09.2011, p. 1-15.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Green, D, Héthelyi, L & Mazza, N 2011, 'On a strong form of Oliver’s p-group conjecture.', Journal of Algebra, vol. 342, no. 1, pp. 1-15. https://doi.org/10.1016/j.jalgebra.2011.05.025

APA

Vancouver

Green D, Héthelyi L, Mazza N. On a strong form of Oliver’s p-group conjecture. Journal of Algebra. 2011 Sept 15;342(1):1-15. doi: 10.1016/j.jalgebra.2011.05.025

Author

Green, D. ; Héthelyi, L. ; Mazza, Nadia. / On a strong form of Oliver’s p-group conjecture. In: Journal of Algebra. 2011 ; Vol. 342, No. 1. pp. 1-15.

Bibtex

@article{091b5743229e47569708f77a1cb6cbc1,
title = "On a strong form of Oliver{\textquoteright}s p-group conjecture.",
abstract = "We introduce a stronger and more tractable form of Olivers p-group conjecture, and derive a reformulation in terms of the modular representation theory of a quotient group. The Sylow p-subgroups of the symmetric group Sn and of the general linear group satisfy both the strong conjecture and its reformulation.",
keywords = "p-Group, Offending subgroup , Quadratic offender , p-Local finite group",
author = "D. Green and L. H{\'e}thelyi and Nadia Mazza",
year = "2011",
month = sep,
day = "15",
doi = "10.1016/j.jalgebra.2011.05.025",
language = "English",
volume = "342",
pages = "1--15",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",
number = "1",

}

RIS

TY - JOUR

T1 - On a strong form of Oliver’s p-group conjecture.

AU - Green, D.

AU - Héthelyi, L.

AU - Mazza, Nadia

PY - 2011/9/15

Y1 - 2011/9/15

N2 - We introduce a stronger and more tractable form of Olivers p-group conjecture, and derive a reformulation in terms of the modular representation theory of a quotient group. The Sylow p-subgroups of the symmetric group Sn and of the general linear group satisfy both the strong conjecture and its reformulation.

AB - We introduce a stronger and more tractable form of Olivers p-group conjecture, and derive a reformulation in terms of the modular representation theory of a quotient group. The Sylow p-subgroups of the symmetric group Sn and of the general linear group satisfy both the strong conjecture and its reformulation.

KW - p-Group

KW - Offending subgroup

KW - Quadratic offender

KW - p-Local finite group

U2 - 10.1016/j.jalgebra.2011.05.025

DO - 10.1016/j.jalgebra.2011.05.025

M3 - Journal article

VL - 342

SP - 1

EP - 15

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 1

ER -