Geodesic
Symplectic groups are $N$-determined 2-compact groups
Aleš Vavpetič 1   ; Antonio Viruel 2
1 Fakulteta za Matematiko in Fiziko Univerza v Ljubljani Jadranska 19 SI-1111 Ljubljana, Slovenia
2 Dpto de de l'Algebra, Geometría y Topología Universidad de Málaga Apdo Correos 59 29080 Málaga, Spain
Fundamenta Mathematicae, Tome 192 (2006) no. 2, pp. 121-139 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We show that for $n\ge 3$ the symplectic group $Sp(n)$ is as a $2$-compact group determined up to isomorphism by the isomorphism type of its maximal torus normalizer. This allows us to determine the integral homotopy type of $Sp(n)$ among connected finite loop spaces with maximal torus.
DOI : 10.4064/fm192-2-3
Keywords: symplectic group compact group determined isomorphism isomorphism type its maximal torus normalizer allows determine integral homotopy type among connected finite loop spaces maximal torus

Aleš Vavpetič  1   ; Antonio Viruel  2

1 Fakulteta za Matematiko in Fiziko Univerza v Ljubljani Jadranska 19 SI-1111 Ljubljana, Slovenia
2 Dpto de de l'Algebra, Geometría y Topología Universidad de Málaga Apdo Correos 59 29080 Málaga, Spain 
@article{10_4064_fm192_2_3,
     author = {Ale\v{s} Vavpeti\v{c} and Antonio Viruel},
     title = {Symplectic groups are $N$-determined 2-compact groups},
     journal = {Fundamenta Mathematicae},
     pages = {121--139},
     year = {2006},
     volume = {192},
     number = {2},
     doi = {10.4064/fm192-2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm192-2-3/}
}
TY  - JOUR
AU  - Aleš Vavpetič
AU  - Antonio Viruel
TI  - Symplectic groups are $N$-determined 2-compact groups
JO  - Fundamenta Mathematicae
PY  - 2006
SP  - 121
EP  - 139
VL  - 192
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm192-2-3/
DO  - 10.4064/fm192-2-3
LA  - en
ID  - 10_4064_fm192_2_3
ER  - 
%0 Journal Article
%A Aleš Vavpetič
%A Antonio Viruel
%T Symplectic groups are $N$-determined 2-compact groups
%J Fundamenta Mathematicae
%D 2006
%P 121-139
%V 192
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/fm192-2-3/
%R 10.4064/fm192-2-3
%G en
%F 10_4064_fm192_2_3
Aleš Vavpetič; Antonio Viruel. Symplectic groups are $N$-determined 2-compact groups. Fundamenta Mathematicae, Tome 192 (2006) no. 2, pp. 121-139. doi: 10.4064/fm192-2-3

Cité par Sources :