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Fusion systems and amalgams

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Author

Summary, in English

We study reduced fusion systems from the point of view of their essential subgroups, using the classification by Goldschmidt and Fan of amalgams of prime index to analyze certain pairs of such subgroups. Our results are applied here to study reduced fusion systems over -groups of order at most 64, and also reduced fusion systems over -groups having abelian subgroups of index two. More applications are given in later papers.

Publishing year

2013

Language

English

Pages

1119-1154

Publication/Series

Mathematische Zeitschrift

Volume

274

Issue

3-4

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • Finite groups
  • Fusion
  • Amalgams
  • Fusion systems

Status

Published

ISBN/ISSN/Other

  • ISSN: 0025-5874