Control of fusion by Abelian subgroups of the hyperfocal subgroup

Ellen Henke; Jun Liao

doi:10.1142/S021949881850024X

Control of fusion by Abelian subgroups of the hyperfocal subgroup

Ellen Henke, Jun Liao

Mathematical Science

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Abstract

We prove that an isomorphism between saturated fusion systems over the same finite p-group is detected on the elementary abelian subgroups of the hyperfocal subgroup if p is odd, and on the abelian subgroups of the hyperfocal subgroup of exponent at most 4 if p = 2. For odd p, this has implications for mod p group cohomology.

Original language	English
Article number	1850024
Number of pages	11
Journal	Journal of Algebra and its Applications
Volume	17
Issue number	2
Early online date	22 Mar 2017
DOIs	https://doi.org/10.1142/S021949881850024X
Publication status	Published - Feb 2018

Keywords

math.GR
fusion systems
group cohomology

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10.1142/S021949881850024XLicence: Unspecified

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Electronic version of an article published as Journal of Algebra and Its Applications, Volume 17, Issue 2, 2018, 1850024. DOI: http://dx.doi.org/10.1142/S021949881850024X Copyright © 2017 World Scientific Publishing Co Pte Ltd. http://www.worldscientific.com/worldscinet/jaa
Accepted author manuscript, 317 KBLicence: Other

https://arxiv.org/pdf/1611.04403.pdfLicence: Unspecified

Cite this

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Control of fusion by Abelian subgroups of the hyperfocal subgroup

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