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

Shaul Zemel

doi:10.1142/S1793042117500701

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

Shaul Zemel^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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).

Original language	English
Pages (from-to)	1275-1300
Number of pages	26
Journal	International Journal of Number Theory
Volume	13
Issue number	5
DOIs	https://doi.org/10.1142/S1793042117500701
State	Published - 1 Jun 2017

Bibliographical note

Publisher Copyright:
© 2017 World Scientific Publishing Company.

Keywords

Congruence subgroups
automorphisms of lattices
generalized Atkin-Lehner involutions
normalizers

Access to Document

10.1142/S1793042117500701

Cite this

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