English

Commentary on Sp(6) hypergeometric groups

Group Theory 2022-03-11 v1

Abstract

We study the examples mentioned in [2,Tables A & C] and establish the arithmeticity of four examples of symplectic hypergeometric groups of degree six. Following [2] we know that there are 458 inequivalent symplectic hypergeometric groups of degree six, and combining the results of this article with the work of [1,2,11], we now know that at least 384 are arithmetic and at least 63 are thin whereas the arithmeticity and thinness of remaining 11 examples are still unknown.

Keywords

Cite

@article{arxiv.2203.05529,
  title  = {Commentary on Sp(6) hypergeometric groups},
  author = {Jitendra Bajpai},
  journal= {arXiv preprint arXiv:2203.05529},
  year   = {2022}
}

Comments

14 pages, 2 tables

R2 v1 2026-06-24T10:09:01.286Z