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

Institut for Matematiske Fag

5 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Journal of Algebra
Vol/bind	323
Udgave nummer	2
Sider (fra-til)	382-392
ISSN	0021-8693
Status	Udgivet - 15 jan. 2010

Citationsformater

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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

Fingeraftryk

Citationsformater