Geodesic
$\mathrm {SL}(2, 5)$ Has No Smooth Effective One-fixed-point Action on $S^8$
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 1, pp. 85-94.

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We prove that there is no effective smooth one-fixed-point action of $\mathrm {SL}(2,5)$, the special linear group of $2\times 2$ matrices over $\mathbb {Z}_5$, on the $8$-dimensional sphere. The method of proof involves the intersection form.
DOI : 10.4064/ba8040-3-2016
Keywords: prove there effective smooth one fixed point action mathrm special linear group times matrices mathbb dimensional sphere method proof involves intersection form

Agnieszka Borowiecka 1

1 
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Agnieszka Borowiecka. $\mathrm {SL}(2, 5)$ Has No Smooth Effective One-fixed-point Action on $S^8$. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 1, pp. 85-94. doi : 10.4064/ba8040-3-2016. http://geodesic.mathdoc.fr/articles/10.4064/ba8040-3-2016/

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