The 2-minimal subgroups of symplectic groups

Chris Parker, Peter Rowley

Research output: Contribution to journalArticlepeer-review

22 Downloads (Pure)

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.

Original languageEnglish
Article number106643
Number of pages14
JournalJournal of Pure and Applied Algebra
Volume225
Issue number9
Early online date10 Dec 2020
DOIs
Publication statusPublished - Sep 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

Fingerprint

Dive into the research topics of 'The 2-minimal subgroups of symplectic groups'. Together they form a unique fingerprint.

Cite this