The signature of the normalizes of Γ<sub>0</sub>(<i>N</i>)

Akbaş, Mehmet; Singerman, David

doi:10.1017/cbo9780511629259.009

Cited by 13 publications

(14 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Lemma 2.1 [2,Corollary 2] Let N have the prime power decomposition as 2 α1 · 3 α2 · p α3 3 · · · p αr r . Then N or(N ) acts transitively onQ if and only if α 1 ≤ 7, α 2 ≤ 3 and α i ≤ 1 for i = 3, .…”

Section: Transitive Actionmentioning

confidence: 99%

On congruence equations arising from suborbital graphs

Güler¹,

Beşenk²,

Kader³

2019

Turk J Math

View full text Add to dashboard Cite

In this paper we deal with congruence equations arising from suborbital graphs of the normalizer of Γ0(m) in P SL(2, R) . We also propose a conjecture concerning the suborbital graphs of the normalizer and the related congruence equations. In order to prove the existence of solution of an equation over prime finite field, this paper utilizes the Fuchsian group action on the upper half plane and Farey graphs properties.

show abstract

Section: Transitive Actionmentioning

confidence: 99%

On congruence equations arising from suborbital graphs

Güler¹,

Beşenk²,

Kader³

2019

Turk J Math

View full text Add to dashboard Cite

show abstract

“…Lemma 1.1. ( [2]) Nor(n) is a triangle group for precisely 26 values of n. 3 , then Nor(n) has signature (2, 6, ∞).…”

Section: The Normalizermentioning

confidence: 99%

Suborbital graphs for a non-transitive action of the normalizer

Beşenk

Güler

Büyükkaya

2019

Filomat

View full text Add to dashboard Cite

show abstract

“…On the other hand, Nor(N) will denote the normalizer of Γ 0 (N) in PSL(2,R) consists exactly of the matrices ae b/h cN/h de (1) where all symbols represent integers, h is the largest divisor of 24 for which h 2 |N, e > 0 is an exact divisor of N/h 2 and the determinat of matrix is e > 0. (We say that x is an exact divisor of y, denoted by x y, if x | y and (x, y/x) = 1).…”

Section: Introductionmentioning

confidence: 99%

“…Akbaş and Singerman, in [1], when N is arbitrary; calculated all the invariant of the signature of the normalizer except for the genus g and the number of periods 2. If one of these two were known, anyone would find all signature by using (4).…”

Section: Introductionmentioning

confidence: 99%