Fusion systems over a Sylow p-subgroup of G2(p)

Christopher Parker; Jason Semeraro

doi:10.1007/s00209-017-1969-x

Fusion systems over a Sylow p-subgroup of G₂(p)

Christopher Parker
, Jason Semeraro

Mathematics

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

3 Citations (Scopus)

250 Downloads (Pure)

Abstract

For S a Sylow p-subgroup of the group G₂(p) for p odd, up to isomorphism of fusion systems, we determine all saturated fusion systems F on S with O_p(F)=1. For p ≠ 7, all such fusion systems are realized by finite groups whereas for p=7 there are 29 saturated fusion systems of which 27 are exotic.

Original language	English
Pages (from-to)	629–662
Number of pages	34
Journal	Mathematische Zeitschrift
Volume	289
Issue number	1-2
Early online date	9 Nov 2017
DOIs	https://doi.org/10.1007/s00209-017-1969-x
Publication status	Published - Jun 2018

Keywords

groups of Lie type
fusion systems
exotic fusion systems

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10.1007/s00209-017-1969-xLicence: Creative Commons: Attribution (CC BY)

ParkerC2017FusionFinal published version, 678 KBLicence: Creative Commons: Attribution (CC BY)

Cite this

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abstract = "For S a Sylow p-subgroup of the group G2(p) for p odd, up to isomorphism of fusion systems, we determine all saturated fusion systems F on S with Op(F)=1. For p ≠ 7, all such fusion systems are realized by finite groups whereas for p=7 there are 29 saturated fusion systems of which 27 are exotic. ",

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KW - exotic fusion systems

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