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Idempotent deformations of finite groups
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
Hebrew University of Jerusalem.
Ben-Gurion University.
(English)Manuscript (preprint) (Other academic)
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:kth:diva-66737OAI: oai:DiVA.org:kth-66737DiVA: diva2:484548
Note
QS 2012Available from: 2012-01-27 Created: 2012-01-27 Last updated: 2012-01-27Bibliographically approved
In thesis
1. Fibrations and Idempotent Functors
Open this publication in new window or tab >>Fibrations and Idempotent Functors
2011 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis consists of two articles. Both articles concern homotopical algebra. In Paper I we study functors indexed by a small category into a model category whose value at each morphism is a weak equivalence. We show that the category of such functors can be understood as a certain mapping space. Specializing to topological spaces, this result is used to reprove a classical theorem that classifies fibrations with a fixed base and homotopy fiber. In Paper II we study augmented idempotent functors, i.e., co-localizations, operating on the category of groups. We relate these functors to cellular coverings of groups and show that a number of properties, such as finiteness, nilpotency etc., are preserved by such functors. Furthermore, we classify the values that such functors can take upon finite simple groups and give an explicit construction of such values.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2011. vii, 26 p.
Series
Trita-MAT. MA, ISSN 1401-2278 ; 11:11
National Category
Mathematics
Identifiers
urn:nbn:se:kth:diva-66740 (URN)978-91-7502-235-3 (ISBN)
Public defence
2012-01-31, Sal F3, Lindstedtsvägen 26, KTH, Stockholm, 13:00 (English)
Opponent
Supervisors
Note
QC 20120127Available from: 2012-01-27 Created: 2012-01-27 Last updated: 2012-02-10Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf