Minimal fusion systems with a unique maximal parabolic

Research output: Contribution to journal › Journal article › Research › peer-review

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Minimal fusion systems with a unique maximal parabolic. / Henke, Ellen.

In: Journal of Algebra, Vol. 333, No. 1, 01.05.2011, p. 318-367.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Henke, E 2011, 'Minimal fusion systems with a unique maximal parabolic', Journal of Algebra, vol. 333, no. 1, pp. 318-367. https://doi.org/10.1016/j.jalgebra.2010.11.006

APA

Henke, E. (2011). Minimal fusion systems with a unique maximal parabolic. Journal of Algebra, 333(1), 318-367. https://doi.org/10.1016/j.jalgebra.2010.11.006

Vancouver

Henke E. Minimal fusion systems with a unique maximal parabolic. Journal of Algebra. 2011 May 1;333(1):318-367. https://doi.org/10.1016/j.jalgebra.2010.11.006

Author

Henke, Ellen. / Minimal fusion systems with a unique maximal parabolic. In: Journal of Algebra. 2011 ; Vol. 333, No. 1. pp. 318-367.

Bibtex

@article{155683377b444f1a9e8d9777d24d308b,
title = "Minimal fusion systems with a unique maximal parabolic",
abstract = "We define minimal fusion systems in a way that every non-solvable fusion system has a section which is minimal. Minimal fusion systems can also be seen as analogs of Thompson's N-groups. In this paper, we consider a minimal fusion system F on a finite p-group S that has a unique maximal p-local subsystem containing N_F(S). For an arbitrary prime p, we determine the structure of a certain (explicitly described) p-local subsystem of F. If p=2, this leads to a complete classification of the fusion system F.",
author = "Ellen Henke",
year = "2011",
month = may,
day = "1",
doi = "10.1016/j.jalgebra.2010.11.006",
language = "English",
volume = "333",
pages = "318--367",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press",
number = "1",

}

RIS

TY - JOUR

T1 - Minimal fusion systems with a unique maximal parabolic

AU - Henke, Ellen

PY - 2011/5/1

Y1 - 2011/5/1

N2 - We define minimal fusion systems in a way that every non-solvable fusion system has a section which is minimal. Minimal fusion systems can also be seen as analogs of Thompson's N-groups. In this paper, we consider a minimal fusion system F on a finite p-group S that has a unique maximal p-local subsystem containing N_F(S). For an arbitrary prime p, we determine the structure of a certain (explicitly described) p-local subsystem of F. If p=2, this leads to a complete classification of the fusion system F.

AB - We define minimal fusion systems in a way that every non-solvable fusion system has a section which is minimal. Minimal fusion systems can also be seen as analogs of Thompson's N-groups. In this paper, we consider a minimal fusion system F on a finite p-group S that has a unique maximal p-local subsystem containing N_F(S). For an arbitrary prime p, we determine the structure of a certain (explicitly described) p-local subsystem of F. If p=2, this leads to a complete classification of the fusion system F.

U2 - 10.1016/j.jalgebra.2010.11.006

DO - 10.1016/j.jalgebra.2010.11.006

M3 - Journal article

VL - 333

SP - 318

EP - 367

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 1

ER -

ID: 33907820