TY - JOUR
T1 - Cyrillic capital letter sha-rigidity of Chevalley groups over local rings
AU - Bunina, Elena
AU - Kunyavskii, Boris
N1 - Publisher Copyright:
© 2025 Walter de Gruyter GmbH, Berlin/Boston.
PY - 2025/9/1
Y1 - 2025/9/1
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/86000131602
U2 - 10.1515/jgth-2024-0115
DO - 10.1515/jgth-2024-0115
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AN - SCOPUS:86000131602
SN - 1433-5883
VL - 28
SP - 1143
EP - 1161
JO - Journal of Group Theory
JF - Journal of Group Theory
IS - 5
ER -