Geodesic
Symplectic groups are $N$-determined 2-compact groups
Aleš Vavpetič1 ; Antonio Viruel2
1Fakulteta za Matematiko in Fiziko Univerza v Ljubljani Jadranska 19 SI-1111 Ljubljana, Slovenia
2Dpto 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

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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 
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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

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