Commensurability and arithmetic equivalence for orthogonal hypergeometric 
monodromy groups

Bajpai, Jitendra; Singh, Sandip; Thomson, Scott

doi:10.1080/10586458.2018.1453424

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学術論文

Commensurability and arithmetic equivalence for orthogonal hypergeometric monodromy groups

MPS-Authors

/persons/resource/persons243267

Bajpai, Jitendra
Max Planck Institute for Mathematics, Max Planck Society;

/persons/resource/persons236218

Singh, Sandip
Max Planck Institute for Mathematics, Max Planck Society;

/persons/resource/persons236329

Thomson, Scott
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1080/10586458.2018.1453424
(出版社版)

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フルテキスト (公開)

arXiv:1612.04300.pdf
(プレプリント), 425KB

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引用

Bajpai, J., Singh, S., & Thomson, S. (2020). Commensurability and arithmetic equivalence for orthogonal hypergeometric monodromy groups. Experimental Mathematics, 29(2), 222-233. doi:10.1080/10586458.2018.1453424.

引用: https://hdl.handle.net/21.11116/0000-0006-9C2E-8

要旨

Invariants are computed of quadratic forms associated to orthogonal hypergeometric groups of degree five. Some
commensurabilities are then determined between these groups, and it is established that
some thin groups cannot be conjugate to each other.