On self-normalising Sylow 2-subgroups in type A

Jonathan Taylor, Amanda Schaeffer Fry

Research output: Contribution to journalArticlepeer-review


Navarro has conjectured a necessary and sufficient condition for a finite group $G$ to have a self-normalising Sylow $2$-subgroup, which is given in terms of the ordinary irreducible characters of $G$. The first-named author has reduced the proof of this conjecture to showing that certain related statements hold when $G$ is quasisimple. In this article we show that these conditions are satisfied when $G/Z(G)$ is $\mathrm{PSL}_n(q)$, $\mathrm{PSU}_n(q)$, or a simple group of Lie type defined over a finite field of characteristic $2$.
Original languageEnglish
JournalJournal of Lie Theory
Publication statusPublished - 1 Feb 2018


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