Products of Partial Normal Subgroups

Ellen Henke

doi:10.2140/pjm.2015.279.255

Products of Partial Normal Subgroups

Ellen Henke

Mathematical Science

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

6 Downloads (Pure)

Abstract

We show that the product of two partial normal subgroups of a locality (in the sense of Chermak) is again a partial normal subgroup. This generalizes a theorem of Chermak and fits into the context of building a local theory of localities.

Original language	English
Pages (from-to)	255-268
Number of pages	19
Journal	Pacific Journal of Mathematics
Volume	279
Issue number	1-2
Early online date	21 Dec 2015
DOIs	https://doi.org/10.2140/pjm.2015.279.255
Publication status	Published - 21 Dec 2015

Keywords

fusion systems
localities
transporter systems

Access to Document

10.2140/pjm.2015.279.255Licence: Unspecified

PRODUCTS OF PARTIAL NORMAL SUBGROUPS
First published in ‘Pacific Journal of Mathematics' in volume 279 and numbers 1-2, 2015, published by Mathematical Sciences Publishers © 2015 Mathematical Sciences Publishers
Final published version, 329 KB

Cite this

@article{40d13f67b42445929ebbc6e8be8318eb,

title = "Products of Partial Normal Subgroups",

abstract = "We show that the product of two partial normal subgroups of a locality (in the sense of Chermak) is again a partial normal subgroup. This generalizes a theorem of Chermak and fits into the context of building a local theory of localities.",

keywords = "fusion systems, localities, transporter systems",

author = "Ellen Henke",

note = "Date of Acceptance: 21/09/2015",

year = "2015",

month = dec,

day = "21",

doi = "10.2140/pjm.2015.279.255",

language = "English",

volume = "279",

pages = "255--268",

journal = " Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "Mathematical Sciences Publishers",

number = "1-2",

}

TY - JOUR

T1 - Products of Partial Normal Subgroups

AU - Henke, Ellen

N1 - Date of Acceptance: 21/09/2015

PY - 2015/12/21

Y1 - 2015/12/21

N2 - We show that the product of two partial normal subgroups of a locality (in the sense of Chermak) is again a partial normal subgroup. This generalizes a theorem of Chermak and fits into the context of building a local theory of localities.

AB - We show that the product of two partial normal subgroups of a locality (in the sense of Chermak) is again a partial normal subgroup. This generalizes a theorem of Chermak and fits into the context of building a local theory of localities.

KW - fusion systems

KW - localities

KW - transporter systems

U2 - 10.2140/pjm.2015.279.255

DO - 10.2140/pjm.2015.279.255

M3 - Article

VL - 279

SP - 255

EP - 268

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 1-2

ER -

Products of Partial Normal Subgroups

Abstract

Keywords

Access to Document

Fingerprint

Cite this