Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ESTIMATION OF GENUS FOR CERTAIN ARITHMETIC GROUP

  • Jeon, Daeyeol (Department of Mathematics education, Kongju National University)
  • Received : 2011.04.01
  • Accepted : 2011.05.24
  • Published : 2011.06.30
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Abstract

In this work, we find the genera of arithmetic subgroups $\langle{\Gamma}_{\Delta}(N),{\Phi}\rangle$ of $GL_2^+(\mathbb{R})$ generated by congruence subgroup ${\Gamma}_{\Delta}(N)$ and the Fricke involution $\Phi$.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

References

  1. D. Jeon and C. H. Kim, On the arithmetic of certain modular curves, Acta Arith., 130 (2007), no. 2, 181-193. https://doi.org/10.4064/aa130-2-7
  2. C. H. Kim and J. K. Koo, Estimation of genus for certain arithmetic groups, Comm. Algebra 32 (2004), no. 7, 2479-2495. https://doi.org/10.1081/AGB-120037394