Centrality of the congruence kernel for elementary subgroups of Chevalley groups of rank >1 over noetherian rings

2010/07/14 by Andrei S. Rapinchuk, Igor A. Rapinchuk, Rapinchuk, Andrei S. +1
Mathematics · #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1007.2261

openalex publication_date 2010/07/14 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We prove the centrality of the congruence kernel for the elementary subgroup of a Chevalley group G of rank >1 over an arbitrary noetherian ring R (under some minor restrictions on R if G is of type C_n or G₂).

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