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Cyrillic capital letter sha-rigidity of Chevalley groups over local rings

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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 >1 (with 1 / 2 1/2 for the systems A 2 , F 4 , B l, C l and with 1 / 3 1/3 for the system G 2 ) is inner, so that all these groups are Cyrillic capital letter sha -rigid.

Original languageEnglish GB
Pages (from-to)1143-1161
Number of pages19
JournalJournal of Group Theory
Volume28
Issue number5
DOIs
StatePublished - 1 Sep 2025

ASJC Scopus subject areas

  • Algebra and Number Theory

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