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Control of transfer and weak closure in fusion systems.

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Control of transfer and weak closure in fusion systems. / Diaz, Antonio; Glesser, Adam; Mazza, Nadia et al.
In: Journal of Algebra, Vol. 323, No. 2, 15.01.2010, p. 382-392.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Diaz, A, Glesser, A, Mazza, N & Park, S 2010, 'Control of transfer and weak closure in fusion systems.', Journal of Algebra, vol. 323, no. 2, pp. 382-392. https://doi.org/10.1016/j.jalgebra.2009.09.028

APA

Diaz, A., Glesser, A., Mazza, N., & Park, S. (2010). Control of transfer and weak closure in fusion systems. Journal of Algebra, 323(2), 382-392. https://doi.org/10.1016/j.jalgebra.2009.09.028

Vancouver

Diaz A, Glesser A, Mazza N, Park S. Control of transfer and weak closure in fusion systems. Journal of Algebra. 2010 Jan 15;323(2):382-392. doi: 10.1016/j.jalgebra.2009.09.028

Author

Diaz, Antonio ; Glesser, Adam ; Mazza, Nadia et al. / Control of transfer and weak closure in fusion systems. In: Journal of Algebra. 2010 ; Vol. 323, No. 2. pp. 382-392.

Bibtex

@article{a35b15ddf90f49c1a7148d33010485f1,
title = "Control of transfer and weak closure in fusion systems.",
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.",
keywords = "Fusion systems, Control of transfer, Weak closure, Characteristic p-functors",
author = "Antonio Diaz and Adam Glesser and Nadia Mazza and Sejong Park",
year = "2010",
month = jan,
day = "15",
doi = "10.1016/j.jalgebra.2009.09.028",
language = "English",
volume = "323",
pages = "382--392",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",
number = "2",

}

RIS

TY - JOUR

T1 - Control of transfer and weak closure in fusion systems.

AU - Diaz, Antonio

AU - Glesser, Adam

AU - Mazza, Nadia

AU - Park, Sejong

PY - 2010/1/15

Y1 - 2010/1/15

N2 - 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.

AB - 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.

KW - Fusion systems

KW - Control of transfer

KW - Weak closure

KW - Characteristic p-functors

U2 - 10.1016/j.jalgebra.2009.09.028

DO - 10.1016/j.jalgebra.2009.09.028

M3 - Journal article

VL - 323

SP - 382

EP - 392

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 2

ER -