Normalizers of congruence groups in SL2(ℝ) and automorphisms of lattices

Author:

Zemel Shaul1

Affiliation:

1. Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Manchester Building, Edmund J. Safra Campus, Jerusalem 9190401, Israel

Abstract

We determine the normalizer in SL2(ℝ) of several families of congruence subgroups of SL2(ℤ). In addition, we show how these tools can be used to evaluate the groups of automorphisms and the discriminant kernels of a large family of isotropic lattices of signature (2,1).

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

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