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Automorphism group of ${\rm PSL}_2(p)$

For Question 1, $S$ acts transitively by conjugation on the $p$ Sylow $p$-subgroups of ${\rm PSL}(2,p)$ other than $S$, so we can multiply $a'$ by an element of $S$ to make it fix some other Sylow $p$-...
Derek Holt's user avatar
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1 vote

Extending Special Automorphisms of Lie Manifolds

I will assume that $N$ is properly embedded in $N$, otherwise the claim fails even in the case when $M=\mathbb R$ and $N=(0,1)$. The key is that $G_N$ is connected and, hence, every element of $G_N$ ...
Moishe Kohan's user avatar
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