Wreath products and representations of p-local finite groups

Natalia Castellana; Assaf Libman

doi:10.1016/j.aim.2009.02.011

Wreath products and representations of p-local finite groups

Natalia Castellana
, Assaf Libman

Mathematical Science

Autonomous University of Barcelona

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

13 Downloads (Pure)

Abstract

Given two finite p-local finite groups and a fusion preserving morphism
between their Sylow subgroups, we study the question of extending it
to a continuous map between their classifying spaces. The results depend on
the construction of the wreath product of p-local finite groups which is also
used to study p-local permutation representations.

Original language	English
Pages (from-to)	1302–1344
Number of pages	43
Journal	Advances in Mathematics
Volume	221
Issue number	4
Early online date	20 Mar 2009
DOIs	https://doi.org/10.1016/j.aim.2009.02.011
Publication status	Published - 10 Jul 2009

Keywords

fusion systems
permutation representation
symmetric groups

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10.1016/j.aim.2009.02.011

Wreath products and representations of p-local finite groups
NOTICE: this is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in ADVANCES IN MATHEMATICS, [VOL 221, ISSUE 4, (2009)] DOI: 10.1016/j.aim.2009.02.011
Accepted author manuscript, 399 KB

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KW - symmetric groups

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Wreath products and representations of p-local finite groups

Abstract

Keywords

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