N-determined 2-compact groups. I

Jesper M. Møller. "N-determined 2-compact groups. I." Fundamenta Mathematicae 195.1 (2007): 11-84. <http://eudml.org/doc/282940>.

@article{JesperM2007,
abstract = {This is the first part of a paper that classifies 2-compact groups. In this first part we formulate a general classification scheme for 2-compact groups in terms of their maximal torus normalizer pairs. We apply this general classification procedure to the simple 2-compact groups of the A-family and show that any simple 2-compact group that is locally isomorphic to PGL(n+1,ℂ) is uniquely N-determined. Thus there are no other 2-compact groups in the A-family than the ones we already know. We also compute the group of automorphisms of any member of the A-family and show that it consists of unstable Adams operations only.},
author = {Jesper M. Møller},
journal = {Fundamenta Mathematicae},
keywords = {2-compact groups; uniquely -determined; Quillen category},
language = {eng},
number = {1},
pages = {11-84},
title = {N-determined 2-compact groups. I},
url = {http://eudml.org/doc/282940},
volume = {195},
year = {2007},
}

TY - JOUR
AU - Jesper M. Møller
TI - N-determined 2-compact groups. I
JO - Fundamenta Mathematicae
PY - 2007
VL - 195
IS - 1
SP - 11
EP - 84
AB - This is the first part of a paper that classifies 2-compact groups. In this first part we formulate a general classification scheme for 2-compact groups in terms of their maximal torus normalizer pairs. We apply this general classification procedure to the simple 2-compact groups of the A-family and show that any simple 2-compact group that is locally isomorphic to PGL(n+1,ℂ) is uniquely N-determined. Thus there are no other 2-compact groups in the A-family than the ones we already know. We also compute the group of automorphisms of any member of the A-family and show that it consists of unstable Adams operations only.
LA - eng
KW - 2-compact groups; uniquely -determined; Quillen category
UR - http://eudml.org/doc/282940
ER -