Real Quadratic Irrational Numbers and Modular Group Action Page 1 Southeast Asian Bulletin
of Mathematics c⃝ SEAMS. 2011 Southeast Asian Bulletin of Mathematics (2011) 35: 439–445 …

The representation of the action of PGL 2, Z on Ft∪{∞} in a graphical format is labeled as
coset diagram. These finite graphs are acquired by the contraction of the circuits in infinite …

Objectives: To classify the types of G-circuits with length four in G-orbits G α where α is a
reduced quadratic irrational number and G is the modular group. Methods/Statistical …

G-Subsets and G-Orbits of Q′ ( √ n) Under Action of the Modular Group Page 1 Punjab
University Journal of Mathematics (ISSN 1016-2526) Vol. 43 (2011) pp. 75-84 G-Subsets …

In this paper, we classify G-circuits of length 10 with the help of the location of the reduced
numbers lying on G-circuit. The reduced numbers play an important role in the study of …

The coset diagram for each orbit under the action of the modular group on Q (n)⁎= Q
(n)∪{∞} contains a circuit C i. For any α∈ Q (n), the path leading to the circuit C i and the …

Some Invariant Subsets of Q √ n ) under the Action of PSL(2,Z) 1 Introduction and Preliminaries
Page 1 International Mathematical Forum, Vol. 6, 2011, no. 32, 1557 - 1565 Some Invariant …

Objectives: Primitive representations are useful to explore the modular group action on real
quadratic field. Methods/Statistical Analysis: By using primitive representations structure of G …

On Subsets of under the Action of Hecke Groups Page 1 Applied Mathematics, 2014, 5,
1284-1291 Published Online May 2014 in SciRes. http://www.scirp.org/journal/am http://dx.doi.org/10.4236/am.2014.58120 …

Let H (λ4) be the Hecke group〈 x, y: x2= y4= 1〉 and, for a square‐free positive integer n,
consider the subset ℚ∗− n= a+− n/c| a, b= a 2+ n/c∈ ℤ, c∈ 2 ℤ of the quadratic imaginary …