Symplectic groups are N-determined 2-compact groups

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 -