Fusion systems on a Sylow 3-subgroup of the McLaughlin group

Clara Franchi; Elisa Baccanelli

doi:10.1515/jgth-2019-2045

Fusion systems on a Sylow 3-subgroup of the McLaughlin group

Clara Franchi^*
, Elisa Baccanelli

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo › peer review

Abstract

We determine all saturated fusion systems F on a Sylow 3-subgroup of the sporadic McLaughlin group that do not contain any non-trivial normal 3-subgroup and show that they are all realizable.

Lingua originale	Inglese
pagine (da-a)	689-711
Numero di pagine	23
Rivista	Journal of Group Theory
Volume	2019
DOI	https://doi.org/10.1515/jgth-2019-2045
Stato di pubblicazione	Pubblicato - 2019

Keywords

fusion system

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10.1515/jgth-2019-2045

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title = "Fusion systems on a Sylow 3-subgroup of the McLaughlin group",

abstract = "We determine all saturated fusion systems F on a Sylow 3-subgroup of the sporadic McLaughlin group that do not contain any non-trivial normal 3-subgroup and show that they are all realizable.",

keywords = "fusion system, fusion system",

author = "Clara Franchi and Elisa Baccanelli",

year = "2019",

doi = "10.1515/jgth-2019-2045",

language = "English",

volume = "2019",

pages = "689--711",

journal = "Journal of Group Theory",

issn = "1433-5883",

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T1 - Fusion systems on a Sylow 3-subgroup of the McLaughlin group

AU - Franchi, Clara

AU - Baccanelli, Elisa

PY - 2019

Y1 - 2019

N2 - We determine all saturated fusion systems F on a Sylow 3-subgroup of the sporadic McLaughlin group that do not contain any non-trivial normal 3-subgroup and show that they are all realizable.

AB - We determine all saturated fusion systems F on a Sylow 3-subgroup of the sporadic McLaughlin group that do not contain any non-trivial normal 3-subgroup and show that they are all realizable.

KW - fusion system

UR - http://hdl.handle.net/10807/131117

U2 - 10.1515/jgth-2019-2045

DO - 10.1515/jgth-2019-2045

M3 - Article

SN - 1433-5883

VL - 2019

SP - 689

EP - 711

JO - Journal of Group Theory

JF - Journal of Group Theory

ER -

Fusion systems on a Sylow 3-subgroup of the McLaughlin group

Abstract

Keywords

Accesso al documento

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