Coset diagrams in the study of finitely presented groups with an application to quotients of the modular group.

DOI10.1216/JCA-2010-2-4-501zbMath1242.20037MaRDI QIDQ412520

Anna Torstensson

Publication date: 4 May 2012

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1292249709

zbMATH Keywords

modular groupfinitely presented groupsregular languagescoset diagramscontext sensitive languages

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (8)

Unnamed Item ⋮ Homomorphic images of circuits in \(\mathrm{PSL}(2,\mathbb {Z})\)-space ⋮ Number of distinct homomorphic images in coset diagrams ⋮ Some studies on algebraic integers in \(\mathbb {Q} (i,\sqrt{3})\) by using coset diagram ⋮ The number of circuits of length 4 inPSL(2,ℤ)-space ⋮ On contraction of vertices of the circuits in coset diagrams for \(\mathrm{PSL}(2, \mathbb{Z})\) ⋮ Connecting specific maps having two equal-sized faces and its genus ⋮ A comprehensive overview on the formation of homomorphic copies in coset graphs for the modular group

Cites Work

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• A refined Hurwitz theorem for embeddings of irredundant Cayley graphs
• Subgroups of the (2,3,7) triangle group
• Alternating quotients of Fuchsian groups
• THREE-RELATOR QUOTIENTS OF THE MODULAR GROUP
• Generators for Alternating and Symmetric Groups

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