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arXiv:2308.10076 [math.GR]AbstractReferencesReviewsResources

Sha-rigidity of Chevalley groups over local rings

Elena Bunina, Boris Kunyavskii

Published 2023-08-19Version 1

We prove that every locally inner endomorphism of a Chevalley group (or its elementary subgroup) over a local ring with an irreducible root system of rank >1 (with 1/2 for the systems A_2, F_4, B_l, C_l and with 1/3 for the system G_2) is inner, so that all these groups are Sha-rigid.

Comments: 14 pages
Categories: math.GR
Subjects: 20G35
Related articles: Most relevant | Search more
arXiv:1002.1266 [math.GR] (Published 2010-02-05)
Automorphisms of Chevalley groups of types $A_l, D_l, E_l$ over local rings without 1/2
arXiv:0911.4243 [math.GR] (Published 2009-11-22)
Automorphisms of Chevalley groups of type $B_l$ over local rings with 1/2
arXiv:0907.5592 [math.GR] (Published 2009-07-31)
Automorphisms of Chevalley groups of type $F_4$ over local rings with 1/2

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