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Thinness of some hypergeometric groups in $\mathrm{Sp}(6)$

Part of: Singularities Lie groups

Published online by Cambridge University Press:  02 May 2024

Sandip Singh  and
Shashank Vikram Singh
Sandip Singh*
Affiliation:
Department of Mathematics, Indian Institute of Technology Bombay, Mumbai, India
Shashank Vikram Singh
Affiliation:
Department of Mathematics, Indian Institute of Technology Bombay, Mumbai, India
*
Corresponding author: Sandip Singh; Email: sandip@math.iitb.ac.in
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Abstract

We show the thinness of $7$ of the $40$ hypergeometric groups having a maximally unipotent monodromy in $\mathrm{Sp}(6)$.

Keywords

Hypergeometric groupMonodromy representationSymplectic groupThin groupFree group

MSC classification

Primary: 22E40: Discrete subgroups of Lie groups
Secondary: 32S40: Monodromy; relations with differential equations and $D$-modules 33C80: Connections with groups and algebras, and related topics

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 66 , Issue 3 , September 2024 , pp. 571 - 581
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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