Sha-rigidity of Chevalley groups over local rings

Autor:	Bunina, Elena, Kunyavskii, Boris
Rok vydání:	2023
Předmět:	Mathematics - Group Theory 20G35
Druh dokumentu:	Working Paper
Popis:	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. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.10076 Zobrazit plný text záznamu View this record from Arxiv