Article ID Journal Published Year Pages File Type
8896313 Journal of Algebra 2018 21 Pages PDF
Abstract
Let R be a finitely generated commutative ring with 1, let A be an indecomposable 2-spherical generalized Cartan matrix of size at least 2 and M=M(A) the largest absolute value of a non-diagonal entry of A. We prove that there exists an integer n=n(A) such that the Kac-Moody group GA(R) has property (T) whenever R has no proper ideals of index less than n and all positive integers less than or equal to M are invertible in R.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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