Control of transfer and weak closure in fusion systems

Antonio Diaz Ramos; A. Glesser; N. Mazza; S. Park

Control of transfer and weak closure in fusion systems

Antonio Diaz Ramos, A. Glesser, N. Mazza, S. Park

Department of Mathematical Sciences

5 Citations (Scopus)

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 results of G. Glauberman concerning finite groups.

Original language	English
Journal	Journal of Algebra
Volume	323
Issue number	2
Pages (from-to)	382-392
ISSN	0021-8693
Publication status	Published - 15 Jan 2010

Cite this

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title = "Control of transfer and weak closure in fusion systems",

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 results of G. Glauberman concerning finite groups.",

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T1 - Control of transfer and weak closure in fusion systems

AU - Diaz Ramos, Antonio

AU - Glesser, A.

AU - Mazza, N.

AU - Park, S.

PY - 2010/1/15

Y1 - 2010/1/15

N2 - 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 results of G. Glauberman concerning finite groups.

AB - 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 results of G. Glauberman concerning finite groups.

M3 - Journal article

SN - 0021-8693

VL - 323

SP - 382

EP - 392

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Control of transfer and weak closure in fusion systems

Abstract

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