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2019 Finite subgroups of the extended modular group
Gregory Dresden, Prakriti Panthi, Anukriti Shrestha, Jiahao Zhang
Rocky Mountain J. Math. 49(4): 1123-1127 (2019). DOI: 10.1216/RMJ-2019-49-4-1123

Abstract

We show that in the extended modular group $\overline \Gamma = \rm {PGL}(2, \mathbb {Z})$ there are exactly seven finite subgroups up to conjugacy; three subgroups of size 2, one subgroup each of size 3, 4, and 6, and the trivial subgroup of size 1.

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Gregory Dresden. Prakriti Panthi. Anukriti Shrestha. Jiahao Zhang. "Finite subgroups of the extended modular group." Rocky Mountain J. Math. 49 (4) 1123 - 1127, 2019. https://doi.org/10.1216/RMJ-2019-49-4-1123

Information

Published: 2019
First available in Project Euclid: 29 August 2019

zbMATH: 07104709
MathSciNet: MR3998913
Digital Object Identifier: 10.1216/RMJ-2019-49-4-1123

Subjects:
Primary: 11F06
Secondary: 20E45

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 4 • 2019
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