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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_ba8040_3_2016,
     author = {Agnieszka Borowiecka},
     title = {$\mathrm {SL}(2, 5)$ {Has} {No} {Smooth} {Effective} {One-fixed-point} {Action} on $S^8$},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {85--94},
     publisher = {mathdoc},
     volume = {64},
     number = {1},
     year = {2016},
     doi = {10.4064/ba8040-3-2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba8040-3-2016/}
}
TY  - JOUR
AU  - Agnieszka Borowiecka
TI  - $\mathrm {SL}(2, 5)$ Has No Smooth Effective One-fixed-point Action on $S^8$
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2016
SP  - 85
EP  - 94
VL  - 64
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba8040-3-2016/
DO  - 10.4064/ba8040-3-2016
LA  - en
ID  - 10_4064_ba8040_3_2016
ER  - 
%0 Journal Article
%A Agnieszka Borowiecka
%T $\mathrm {SL}(2, 5)$ Has No Smooth Effective One-fixed-point Action on $S^8$
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2016
%P 85-94
%V 64
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba8040-3-2016/
%R 10.4064/ba8040-3-2016
%G en
%F 10_4064_ba8040_3_2016
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

Cité par Sources :