Sha-rigidity of Chevalley groups over local rings
Group Theory
2023-08-22 v1
Abstract
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.
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Cite
@article{arxiv.2308.10076,
title = {Sha-rigidity of Chevalley groups over local rings},
author = {Elena Bunina and Boris Kunyavskii},
journal= {arXiv preprint arXiv:2308.10076},
year = {2023}
}
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14 pages