N-determined 2-compact groups. I

• Autorzy: Jesper M. Møller
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55P15: Classification of homotopy type
• 55Q05: Homotopy groups, general; sets of homotopy classes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 195
• Numer: 1
• Strony: 11-84

Daty

wydano

2007

Twórcy

autor

Jesper M. Møller

• Matematisk Institut, Universitetsparken 5, DK-2100 København, Denmark

Identyfikatory

DOI

10.4064/fm195-1-2