N-determined 2-compact groups. II

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

Abstrakty

EN

This is the second part of a paper about the classification of 2-compact groups. In the first part we set up a general classification procedure and applied it to the simple 2-compact groups of the A-family. In this second part we deal with the other simple Lie groups and with the exotic simple 2-compact group DI(4). We show that all simple 2-compact groups are uniquely N-determined and conclude that all connected 2-compact groups are uniquely N-determined. This means that two connected 2-compact groups are isomorphic if their maximal torus normalizer s are isomorphic and that the automorphisms of a connected 2-compact group are determined by their effect on a maximal torus. As an application we confirm the conjecture that any connected 2-compact group is the product of a compact Lie group with copies of the exceptional 2-compact group DI(4).

Kategorie tematyczne

• 55P15: Classification of homotopy type
• 55Q45: Stable homotopy of spheres

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 196
• Numer: 1
• Strony: 1-90

Daty

wydano

2007

Twórcy

autor

Jesper M. Møller

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

Identyfikatory

DOI

10.4064/fm196-1-1