The normaliser decomposition of p-local finite groups

Research output: Contribution to journalArticle

Abstract

We construct an analogue of the normaliser decomposition for p-local finite groups. (S, F, L) with respect to collections of F-centric subgroups and collections of elementary abelian subgroups of S. This enables us to describe the classifying space of a p-local finite group, before p-completion, as the homotopy colimit of a diagram of classifying spaces of finite groups whose shape is a poset and all maps are induced by group monomorphisms.

Original languageEnglish
Pages (from-to)1267-1288
Number of pages21
JournalAlgebraic & Geometric Topology
Volume6
DOIs
Publication statusPublished - 2006

Cite this

The normaliser decomposition of p-local finite groups. / Libman, Assaf.

In: Algebraic & Geometric Topology, Vol. 6, 2006, p. 1267-1288.

Research output: Contribution to journalArticle

@article{b67c543b7f994c649e72ce892ca958eb,
title = "The normaliser decomposition of p-local finite groups",
abstract = "We construct an analogue of the normaliser decomposition for p-local finite groups. (S, F, L) with respect to collections of F-centric subgroups and collections of elementary abelian subgroups of S. This enables us to describe the classifying space of a p-local finite group, before p-completion, as the homotopy colimit of a diagram of classifying spaces of finite groups whose shape is a poset and all maps are induced by group monomorphisms.",
author = "Assaf Libman",
year = "2006",
doi = "10.2140/AGT.2006.6.1267",
language = "English",
volume = "6",
pages = "1267--1288",
journal = "Algebraic & Geometric Topology",
issn = "1472-2747",
publisher = "Agriculture.gr",

}

TY - JOUR

T1 - The normaliser decomposition of p-local finite groups

AU - Libman, Assaf

PY - 2006

Y1 - 2006

N2 - We construct an analogue of the normaliser decomposition for p-local finite groups. (S, F, L) with respect to collections of F-centric subgroups and collections of elementary abelian subgroups of S. This enables us to describe the classifying space of a p-local finite group, before p-completion, as the homotopy colimit of a diagram of classifying spaces of finite groups whose shape is a poset and all maps are induced by group monomorphisms.

AB - We construct an analogue of the normaliser decomposition for p-local finite groups. (S, F, L) with respect to collections of F-centric subgroups and collections of elementary abelian subgroups of S. This enables us to describe the classifying space of a p-local finite group, before p-completion, as the homotopy colimit of a diagram of classifying spaces of finite groups whose shape is a poset and all maps are induced by group monomorphisms.

U2 - 10.2140/AGT.2006.6.1267

DO - 10.2140/AGT.2006.6.1267

M3 - Article

VL - 6

SP - 1267

EP - 1288

JO - Algebraic & Geometric Topology

JF - Algebraic & Geometric Topology

SN - 1472-2747

ER -