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Control of transfer and weak closure in fusion systems.

Research output: Contribution to journalJournal article

Published

Journal publication date15/01/2010
JournalJournal of Algebra
Journal number2
Volume323
Number of pages11
Pages382-392
Original languageEnglish

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.