Add to ORKGProduct splittings for p-compact groups by W. G. Dwye r (Notre Dame, Ind.) and C. W. Wi l k e r s on (West Lafayette, Ind.) Abstract. We show that a connected p-compact group with a trivial center is equiv-alent to a product of simple p-compact groups. More generally, we show that product splittings of any connected p-compact group correspond bijectively to algebraic splittings of the fundamental group of the maximal torus as a module over the Weyl group. These are analogues for p-compact groups of well-known theorems about compact Lie groups. 1. Introduction. On
Abstract. Suppose that G is a connected compact Lie group. We show that simple numerical information...
In this paper we present new examples of simple p-local compact groupsfor all odd primes. We also de...
We construct a homotopy theoretic setup for homology decompositions of classifying spaces of p-compa...
Abstract. Dwyer and Wilkerson gave a denition of a p{compact group, which is a loop space with certa...
An argument of A. Borel [Bor-61, Proposition 3.1] shows that every compact connected Lie group is ho...
An argument of A. Borel [Bor-61, Proposition 3.1] shows that every compact connected Lie group is ho...
The notion of p-compact group [10] is a homotopy theoretic version of the geometric or analytic noti...
Abstract. Rational automorphisms of products of simple p-compact groups are shown to be composites o...
A p-compact group, where p is a prime number, is a p-complete space BX whose loop space X = ΩBX has ...
In the book "The Lie Theory of Connected Pro-Lie Groups" the authors proved the local splitting theo...
We construct a model for the space of automorphisms of a connected p–compact group in terms of the s...
The homotopy theoretic analogue of a compact Lie group is a p--ompact group, i.e a space X with fin...
This article surveys the development of the theory of compact groups and pro-Lie groups, contextuali...
A pro-Lie group is a projective limit of a projective system of finite dimensional Lie groups. A pro...
Let G be a compact Lie group and BG its classifying space. Atiyah and Segal have shown that the comp...
Abstract. Suppose that G is a connected compact Lie group. We show that simple numerical information...
In this paper we present new examples of simple p-local compact groupsfor all odd primes. We also de...
We construct a homotopy theoretic setup for homology decompositions of classifying spaces of p-compa...
Abstract. Dwyer and Wilkerson gave a denition of a p{compact group, which is a loop space with certa...
An argument of A. Borel [Bor-61, Proposition 3.1] shows that every compact connected Lie group is ho...
An argument of A. Borel [Bor-61, Proposition 3.1] shows that every compact connected Lie group is ho...
The notion of p-compact group [10] is a homotopy theoretic version of the geometric or analytic noti...
Abstract. Rational automorphisms of products of simple p-compact groups are shown to be composites o...
A p-compact group, where p is a prime number, is a p-complete space BX whose loop space X = ΩBX has ...
In the book "The Lie Theory of Connected Pro-Lie Groups" the authors proved the local splitting theo...
We construct a model for the space of automorphisms of a connected p–compact group in terms of the s...
The homotopy theoretic analogue of a compact Lie group is a p--ompact group, i.e a space X with fin...
This article surveys the development of the theory of compact groups and pro-Lie groups, contextuali...
A pro-Lie group is a projective limit of a projective system of finite dimensional Lie groups. A pro...
Let G be a compact Lie group and BG its classifying space. Atiyah and Segal have shown that the comp...
Abstract. Suppose that G is a connected compact Lie group. We show that simple numerical information...
In this paper we present new examples of simple p-local compact groupsfor all odd primes. We also de...
We construct a homotopy theoretic setup for homology decompositions of classifying spaces of p-compa...