The 2-minimal subgroups of symplectic groups

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Authors

Colleges, School and Institutes

External organisations

  • University of Manchester

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.

Bibliographic 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.

Details

Original languageEnglish
Article number106643
Number of pages14
JournalJournal of Pure and Applied Algebra
Volume225
Issue number9
Early online date10 Dec 2020
Publication statusE-pub ahead of print - 10 Dec 2020

Keywords

  • Finite simple groups

ASJC Scopus subject areas