The Hecke group \(H(\lambda_4)\) acting on imaginary quadratic number fields

DOI10.1155/2021/9323424zbMath1477.11071arXiv1909.10445OpenAlexW3202984775MaRDI QIDQ2052131

Abdulaziz Deajim

Publication date: 25 November 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.10445

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06)

Cites Work

• Real quadratic irrational numbers and modular group action
• Group generated by two elements of orders two and six acting on \(\mathbb{R}\) and \(\mathbb{Q}(\sqrt n)\)
• Modular group acting on real quadratic fields
• Commutator Subgroups of the Extended Hecke Groups $$\bar H(\lambda _q )$$
• Group generated by two elements of orders 2 and 4 acting on real quadratic fields
• Properties of real quadratic irrational numbers under the action of the group H = áx, y: x2 = y4 = 1ñ
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung
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