Index and Equality Conditions of the Subgroups $\Gamma_{0,n}(N)$ and $\Lambda_n(N)$
Index and Equality Conditions of the Subgroups $\Gamma_{0,n}(N)$ and $\Lambda_n(N)$
In this paper, we find conditions on the natural number $n$ that the subgroups $\Gamma_{0,n}(N)$ and $\Lambda_n(N)$ of modular group are different. And then, by defining an $\Lambda_n(N)$ invariant equivalence relation on the subset $\hat{\mathbb{Q}}_n(N)$, we calculate the index formula for $\Gamma_{0,n}(N)$ in $\Lambda_n(N)$.
Keywords:
Congruence subgroup of modular group, transitivity, conjugateness stabilizing, infinite cycle group, index formula,
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- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2013
- Yayıncı: Mehmet Zeki SARIKAYA