Green, D. and Héthelyi, L. and Mazza, Nadia (2011) On a strong form of Oliver’s p-group conjecture. Journal of Algebra, 342 (1). pp. 1-15. ISSN 0021-8693
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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2011.05.025
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Journal of Algebra |
| Uncontrolled Keywords: | p-Group ; Offending subgroup ; Quadratic offender ; p-Local finite group |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 33518 |
| Deposited By: | Mr Richard Ingham |
| Deposited On: | 26 May 2010 11:09 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 17:25 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/33518 |
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