Fusion systems on a Sylow p-subgroup of SU4(p)

Moragues Moncho, Raúl

Please use this identifier to cite or link to this item: https://hdl.handle.net/11000/38195

Fusion systems on a Sylow p-subgroup of SU4(p)

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Title:
Fusion systems on a Sylow p-subgroup of SU4(p)

Authors:
Moragues Moncho, Raúl

Editor:
Elsevier

Department:
Departamentos de la UMH::Estadística, Matemáticas e Informática

Issue Date:
2022

URI:
https://hdl.handle.net/11000/38195

Abstract:
We determine, for p odd, all saturated fusion systems F on a Sylow p-subgroup S of the unitary group SU4(p) and we prove that they are all realizable by finite groups. In particular, we prove that S does not support any exotic fusion systems.

Keywords/Subjects:
fusion systems
exotic fusion systems
groups of lie type
elementary abelian essential subgroup
extraspecial essential subgroup of index p

Knowledge area:
CDU: Ciencias puras y naturales: Matemáticas: Álgebra

Type of document:
info:eu-repo/semantics/article

Access rights:
info:eu-repo/semantics/closedAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

DOI:
https://doi.org/10.1016/j.jalgebra.2021.09.019

Published in:
Journal of Algebra

Appears in Collections:
Artículos Estadística, Matemáticas e Informática

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