Recognizing SL2q in Fusion Systems

Ellen Henke

doi:10.1515/jgt.2010.017

Recognizing SL2q in Fusion Systems

Ellen Henke

Department of Mathematical Sciences

14 Citations (Scopus)

Abstract

We show that, given a saturated fusion system, it is, under certain conditions, possible to identify SL₂(q) acting on a natural module inside the normalizer of an essential subgroup. In particular, this is the case if the fusion system is non-constrained and has only one conjugacy class of essential subgroups.

Original language	English
Journal	Journal of group theroy
Volume	13
Issue number	5
Pages (from-to)	679-702
Number of pages	23
ISSN	1433-5883
DOIs	https://doi.org/10.1515/jgt.2010.017
Publication status	Published - Sept 2010

Access to Document

10.1515/jgt.2010.017

http://www.degruyter.com/downloadpdf/j/jgth.2010.13.issue-5/jgt.2010.017/jgt.2010.017.xml

Cite this

@article{be3d9af0daad11df825b000ea68e967b,

title = "Recognizing SL2q in Fusion Systems",

abstract = "We show that, given a saturated fusion system, it is, under certain conditions, possible to identify SL2(q) acting on a natural module inside the normalizer of an essential subgroup. In particular, this is the case if the fusion system is non-constrained and has only one conjugacy class of essential subgroups.",

author = "Ellen Henke",

year = "2010",

month = sep,

doi = "10.1515/jgt.2010.017",

language = "English",

volume = "13",

pages = "679--702",

journal = "Journal of Group Theory",

issn = "1433-5883",

publisher = "Walterde Gruyter GmbH",

number = "5",

}

TY - JOUR

T1 - Recognizing SL2q in Fusion Systems

AU - Henke, Ellen

PY - 2010/9

Y1 - 2010/9

N2 - We show that, given a saturated fusion system, it is, under certain conditions, possible to identify SL2(q) acting on a natural module inside the normalizer of an essential subgroup. In particular, this is the case if the fusion system is non-constrained and has only one conjugacy class of essential subgroups.

AB - We show that, given a saturated fusion system, it is, under certain conditions, possible to identify SL2(q) acting on a natural module inside the normalizer of an essential subgroup. In particular, this is the case if the fusion system is non-constrained and has only one conjugacy class of essential subgroups.

U2 - 10.1515/jgt.2010.017

DO - 10.1515/jgt.2010.017

M3 - Journal article

SN - 1433-5883

VL - 13

SP - 679

EP - 702

JO - Journal of Group Theory

JF - Journal of Group Theory

IS - 5

ER -

Recognizing SL2q in Fusion Systems

Abstract

Access to Document

Fingerprint

Cite this