Fusion systems and amalgams

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Abstract

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.

Detaljer

Författare
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)1119-1154
TidskriftMathematische Zeitschrift
Volym274
Utgåva nummer3-4
StatusPublished - 2013
PublikationskategoriForskning
Peer review utfördJa