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Irreducible p-local compact groups I. The structure of p-local compact groups of rank 1

2013/12/18 by Alex González, Gonzalez, Alex · 1 citation
Mathematics · #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.1312.5030

Abstract

Let p be a fixed prime number. The main purpose of this paper is to introduce the notion of irreducible p-local compact group, which provides a first reduction towards a classification of all p-local compact groups. In order to test this idea, in this note we describe all p-local compact groups of rank 1 in terms of this notion.

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