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Fusion systems over a Sylow p-subgroup of G 2 (p) G2(p)

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posted on 2018-05-03, 09:23 authored by Chris Parker, Jason Semeraro
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.

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Citation

Mathematische Zeitschrift, 2017

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

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  • VoR (Version of Record)

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Mathematische Zeitschrift

Publisher

Springer Verlag

issn

0025-5874

eissn

1432-1823

Acceptance date

2017-08-29

Copyright date

2017

Available date

2018-05-03

Publisher version

https://link.springer.com/article/10.1007/s00209-017-1969-x

Language

en

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