Generalized triangle groups

DOI10.1017/S0305004100067013zbMath0626.20023MaRDI QIDQ3029189

Peter B. Shalen, John W. Morgan, Gilbert Baumslag

Publication date: 1987

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

free subgroupsubgroup of finite indexgeneralized triangle groupspecial cyclic representationspecial dihedral representation

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05)

Related Items (23)

One-Relator Products Induced from Generalized Triangle Groups ⋮ LARGENESS AND SQ-UNIVERSALITY OF CYCLICALLY PRESENTED GROUPS ⋮ Free subgroups and decompositions of one-relator products of cyclics. I: The Tits alternative ⋮ On the Tits alternative for cyclically presented groups with length-four positive relators ⋮ Computation of some Cayley diagrams ⋮ Generalized polygons and star graphs of cyclic presentations of groups ⋮ Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator. ⋮ On discrete generalised triangle groups ⋮ Certain one-relator products of semigroups ⋮ Cyclically Presented Groups Embedded in One-Relator Products of Cyclic Groups ⋮ On free subgroups of generalized triangle groups ⋮ On the Tits alternative for a class of finitely presented groups with a special focus on symbolic computations ⋮ The virtual Haken conjecture: Experiments and examples ⋮ The \(SQ\)-universality of one-relator products of cyclics ⋮ APPLICATIONS OF p-DEFICIENCY AND p-LARGENESS ⋮ ON FINITE BRANCHED UNIFORMIZATIONS OF THE PROJECTIVE PLANE ⋮ Homomorphic images of \(\Delta(2,3,11)\). ⋮ Free subgroups in certain generalized triangle groups of type \((2,m,2)\). ⋮ Finite Generalized Triangle Groups ⋮ One-Relator Quotients and Free Products of Cyclics ⋮ Pseudo-elementary generalized triangle groups ⋮ Arithmeticity of orbifold generalised triangle groups ⋮ A proof of the Scott-Wiegold conjecture on free products of cyclic groups

Cites Work

• Varieties of group representations and splittings of 3-manifolds
• Die Untergruppen der freien Produkte von beliebigen Gruppen
• Free subgroups of groups with a single defining relation
• Groups with two More Generators Than Relators
• Characters of free groups represented in the two‐dimensional special linear group
• On the faithful representation of infinite groups by matrices

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