Almost p-compact groups

Almost commuting elements in compact Lie groups

DETERMINISTIC p-COMPACT GROUPS

We investigate the class of N -determined p-compact groups and the class of p-compact groups with N -determined automorphisms. A p-compact group is said to be N -determined if it is determined up to isomorphism by the normalizer of a maximal torus. The automorphisms of a p-compact group are said to be N -determined if they are determined by their restrictions to this maximal torus normalizer.

Lie Groups and p-Compact Groups

A p-compact group is the homotopical ghost of a compact Lie group; it is the residue that remains after the geometry and algebra have been stripped away. This paper sketches the theory of p-compact groups, with the intention of illustrating the fact that many classical structural properties of compact Lie groups depend only on homotopy theoretic considerations. 1 From compact Lie groups to p-co...

Extensions of p-compact Groups

The classification of short exact sequences of p-compact groups and of rational isomorphisms of not necessarily connected p-compact groups is discussed.

Completely Reducible p-compact Groups

Rational automorphisms of products of simple p-compact groups are shown to be composites of products of rational automorphisms of the individual factors and permutation maps.