# Control of transfer and weak closure in fusion systems.

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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## 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 of Algebra Fusion systems ; Control of transfer ; Weak closure ; Characteristic p-functors Q Science > QA Mathematics Faculty of Science and Technology > Mathematics and Statistics 27177 Dr Nadia Mazza 07 Oct 2009 14:38 Yes Published 22 Feb 2017 01:30 http://eprints.lancs.ac.uk/id/eprint/27177

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