Coset diagrams for hurwitz groups

DOI10.1080/00927879008824113zbMath0721.20033OpenAlexW2161981777MaRDI QIDQ5752751

Qaiser Mushtaq

Publication date: 1990

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879008824113

zbMATH Keywords

actionscoset diagramsHurwitz groupsprojective lines over finite fields

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (7)

Parametrization of all homomorphisms fromPGL(2Z) intoPGL{2,q) ⋮ Finite presentation of alternating groups ⋮ The Number of Subgroups ofPSL(2,Z) When Acting onF_p ∪ {∞} ⋮ Homomorphic images of \(\Delta(2,3,11)\). ⋮ Hurwitz Groups and Hurwitz Generation ⋮ Adjacency Matrices of PSL(2,5) and Resemblance of Its Coset Diagrams with Fullerene C₆₀ ⋮ Factor groups of \(G^{6,6,6}\) through coset diagrams for an action on \(\text{PL}(F_ q)\)

Cites Work

• Some finite groups which appear as Gal L/K, where \(K\subseteq {\mathbb{Q}}(\mu _ n)\)
• The genus of compact Riemann surfaces with maximal automorphism group
• Symmetries of Riemann surfaces with large automorphism group
• A CONDITION FOR THE EXISTENCE OF A FRAGMENT OF A COSET DIAGRAM
• On Hurwitz extensions by PSL₂(7)
• Generators for Alternating and Symmetric Groups

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