The 2-minimal subgroups of symplectic groups

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The 2-minimal subgroups of symplectic groups. / Parker, Chris; Rowley, Peter.

In: Journal of Pure and Applied Algebra, Vol. 225, No. 9, 106643, 09.2021.

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@article{19fa8a80fcd441bcada1b74e4596cef2,
title = "The 2-minimal subgroups of symplectic groups",
abstract = "For a finite group G, a subgroup P of G is 2-minimal if B<P, where B=NG(S) for some Sylow 2-subgroup S of G, and B is contained in a unique maximal subgroup of P. Here we give a detailed and explicit description of all the 2-minimal subgroups for finite symplectic groups defined over a field of odd characteristic.",
keywords = "Finite simple groups",
author = "Chris Parker and Peter Rowley",
note = "Funding Information: This paper, like its predecessor [10], owes its existence to the Research in Pairs Programme run by the Mathematisches Forschungsinstitut Oberwolfach. Our visit gave us an uninterrupted (and enjoyable) two week research period which allowed us to make rapid progress on this project. The project was completed at the Isaac Newton Institute for Mathematical Sciences EPSRC EP/R014604/1. We thank the staff and both institutes for their hospitality during our visits.",
year = "2020",
month = dec,
day = "10",
doi = "10.1016/j.jpaa.2020.106643",
language = "English",
volume = "225",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
publisher = "Elsevier",
number = "9",

}

RIS

TY - JOUR

T1 - The 2-minimal subgroups of symplectic groups

AU - Parker, Chris

AU - Rowley, Peter

N1 - Funding Information: This paper, like its predecessor [10], owes its existence to the Research in Pairs Programme run by the Mathematisches Forschungsinstitut Oberwolfach. Our visit gave us an uninterrupted (and enjoyable) two week research period which allowed us to make rapid progress on this project. The project was completed at the Isaac Newton Institute for Mathematical Sciences EPSRC EP/R014604/1. We thank the staff and both institutes for their hospitality during our visits.

PY - 2020/12/10

Y1 - 2020/12/10

N2 - For a finite group G, a subgroup P of G is 2-minimal if B<P, where B=NG(S) for some Sylow 2-subgroup S of G, and B is contained in a unique maximal subgroup of P. Here we give a detailed and explicit description of all the 2-minimal subgroups for finite symplectic groups defined over a field of odd characteristic.

AB - For a finite group G, a subgroup P of G is 2-minimal if B<P, where B=NG(S) for some Sylow 2-subgroup S of G, and B is contained in a unique maximal subgroup of P. Here we give a detailed and explicit description of all the 2-minimal subgroups for finite symplectic groups defined over a field of odd characteristic.

KW - Finite simple groups

UR - http://www.scopus.com/inward/record.url?scp=85098642511&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2020.106643

DO - 10.1016/j.jpaa.2020.106643

M3 - Article

AN - SCOPUS:85098642511

VL - 225

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 9

M1 - 106643

ER -