The 2-minimal subgroups of symplectic groups

Chris Parker; Peter Rowley

doi:10.1016/j.jpaa.2020.106643

The 2-minimal subgroups of symplectic groups

Chris Parker, Peter Rowley

Mathematics

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Abstract

For a finite group G, a subgroup P of G is 2-minimal if B<P, where B=N_G(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.

Original language	English
Article number	106643
Number of pages	14
Journal	Journal of Pure and Applied Algebra
Volume	225
Issue number	9
Early online date	10 Dec 2020
DOIs	https://doi.org/10.1016/j.jpaa.2020.106643
Publication status	Published - Sept 2021

Bibliographical 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.

Keywords

Finite simple groups

ASJC Scopus subject areas

Algebra and Number Theory

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Cite this

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The 2-minimal subgroups of symplectic groups

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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