Diaz, Antonio and Glesser, Adam and Mazza, Nadia and Park, Sejong (2010) Control of transfer and weak closure in fusion systems. Journal of Algebra, 323 (2). pp. 382-392. ISSN 0021-8693
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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2009.09.028
Abstract
We show that $\K_\infty$ and $\K^\infty$ control transfer in every fusion system on a finite $p$-group when $p \geq 5$, and that they control weak closure of elements in every fusion system on a finite $p$-group when $p \geq 3$. This generalizes results of G. Glauberman concerning finite groups.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Journal of Algebra |
| Uncontrolled Keywords: | Fusion systems ; Control of transfer ; Weak closure ; Characteristic p-functors |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 27177 |
| Deposited By: | Dr Nadia Mazza |
| Deposited On: | 07 Oct 2009 14:38 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 16:40 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/27177 |
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