Wreath products and representations of p-local finite groups

Natalia Castellana, Assaf Libman

Research output: Contribution to journalArticle

5 Citations (Scopus)
3 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 languageEnglish
Pages (from-to)1302–1344
Number of pages43
JournalAdvances in Mathematics
Volume221
Issue number4
Early online date20 Mar 2009
DOIs
Publication statusPublished - 10 Jul 2009

Fingerprint

Wreath Product
Finite Group
Permutation Representation
Sylow Subgroup
Classifying Space
Continuous Map
Fusion

Keywords

  • fusion systems
  • permutation representation
  • symmetric groups

Cite this

Wreath products and representations of p-local finite groups. / Castellana, Natalia; Libman, Assaf.

In: Advances in Mathematics, Vol. 221, No. 4, 10.07.2009, p. 1302–1344.

Research output: Contribution to journalArticle

Castellana, Natalia ; Libman, Assaf. / Wreath products and representations of p-local finite groups. In: Advances in Mathematics. 2009 ; Vol. 221, No. 4. pp. 1302–1344.
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