Modular group acting on real quadratic fields
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Publication:3764349
DOI10.1017/S000497270002685XzbMath0628.20043MaRDI QIDQ3764349
Publication date: 1988
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure of modular groups and generalizations; arithmetic groups (11F06) Linear algebraic groups over global fields and their integers (20G30)
Related Items (17)
Icosahedral group and classification of \(\mathrm{PSL}(2, Z)\)-orbits of real quadratic fields ⋮ Group generated by two elements of orders 2 and 4 acting on real quadratic fields ⋮ Möbius group generated by two elements of order 2, 4, and reduced quadratic irrational numbers ⋮ Binary quadratic forms as dessins ⋮ Group generated by two elements of orders two and six acting on \(\mathbb{R}\) and \(\mathbb{Q}(\sqrt n)\) ⋮ On word structure of the modular group over finite and real quadratic fields ⋮ Number of distinct homomorphic images in coset diagrams ⋮ Dihedral group and classification of \(G\)-circuits of length 10 ⋮ A note on the action of the Hecke group H(2) on subsets of the form ℚ∗(n) ⋮ The number of circuits of length 4 inPSL(2,ℤ)-space ⋮ On contraction of vertices of the circuits in coset diagrams for \(\mathrm{PSL}(2, \mathbb{Z})\) ⋮ Coset Diagram for the Action of Picard Group on $\mathbb{Q}(i,\sqrt{3})$ ⋮ A comprehensive overview on the formation of homomorphic copies in coset graphs for the modular group ⋮ The Hecke group \(H(\lambda_4)\) acting on imaginary quadratic number fields ⋮ Coset diagrams of the modular group and continued fractions ⋮ Pell Numbers, Pell–Lucas Numbers and Modular Group ⋮ Factor groups of \(G^{6,6,6}\) through coset diagrams for an action on \(\text{PL}(F_ q)\)
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