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We show that for n ≥ 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.
Aleš Vavpetič, and Antonio Viruel. "Symplectic groups are N-determined 2-compact groups." Fundamenta Mathematicae 192.2 (2006): 121-139. <http://eudml.org/doc/283116>.
@article{AlešVavpetič2006, abstract = {We show that for n ≥ 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.}, author = {Aleš Vavpetič, Antonio Viruel}, journal = {Fundamenta Mathematicae}, keywords = {-compact group; symplectic group; loop space; maximal torus normalizer}, language = {eng}, number = {2}, pages = {121-139}, title = {Symplectic groups are N-determined 2-compact groups}, url = {http://eudml.org/doc/283116}, volume = {192}, year = {2006}, }
TY - JOUR AU - Aleš Vavpetič AU - Antonio Viruel TI - Symplectic groups are N-determined 2-compact groups JO - Fundamenta Mathematicae PY - 2006 VL - 192 IS - 2 SP - 121 EP - 139 AB - We show that for n ≥ 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. LA - eng KW - -compact group; symplectic group; loop space; maximal torus normalizer UR - http://eudml.org/doc/283116 ER -