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Control of transfer and weak closure in fusion systems

Park, Sejong
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http://dx.doi.org/10.1016/j.jalgebra.2009.09.028
 http://hdl.handle.net/10379/3739
 https://doi.org/10.13025/15504
Publication Date
2010
Keywords
Fusion systems, Control of transfer, Weak closure, Characteristic p-functors
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journal article
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Díiaz, Antonio and Glesser, Adam and Mazza, Nadia and Park, Sejong (2010) 'Control of transfer and weak closure in fusion systems'. J. Algebra, 323 (2):382-392.
Abstract
We show that K¿ and K¿ control transfer in every fusion system on a finite p-group when p ¿ 5, and that they control weak closure of elements in every fusion system on a finite p-group when p ¿ 3. This generalizes resultsof G. Glauberman concerning finite groups.
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Microbiology (Scholarly Articles)