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NORMAL SUBGROUPS OF FUCHSIAN GROUPS

The Quarterly Journal of Mathematics, 1985
It is well-known that all finitely-generated Fuchsian groups contain torsion-free normal subgroups of finite index and the particular case of the (2,3,7)-triangle group has been much studied as the corresponding quotient groups are maximal groups of automorphisms of compact Riemann surfaces.
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NORMAL SUBGROUPS OF FREE CONSTRUCTIONS

Mathematics of the USSR-Sbornik, 1986
Let \({\mathcal G}\) be the smallest class of groups with the following properties: 1) \({\mathcal G}\) contains all cyclic groups, 2) \({\mathcal G}\) is closed with respect to the second order operations in a finite or countable number - taking HNN-extensions with free or cyclic associated subgroups or taking amalgamated free products with free or ...
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Groups with Restrictions on Normal Subgroups

Algebra and Logic
The paper studies the structure of groups with no elements of order two in which the normal closure of every two-generated subgroup is nilpotent of class at most 3 and establishes that such a group must be nilpotent of class at most \(4\). Additionally, the paper shows that removing the restriction on elements of order two leads to counterexamples.
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Normal Subgroups of Hecke Groups [PDF]

open access: possible, 1993
The Hecke group H(λq) is the discrete subgroup of PSL(2,R) generated by R(z) = -1/z and T(z) = z + λq for λq = 2cosπ/q. In this thesis we investigate normal subgroups of these Hecke groups. The most important Hecke group is the modular group obtained for q = 3.
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On the Conjugacy Classes of Cyclic Non-normal Subgroups

Bulletin of the Iranian Mathematical Society, 2021
Hamid Mousavi
exaly  

Classifying and counting fuzzy normal subgroups by a new equivalence relation

Fuzzy Sets and Systems, 2020
Leili Kamali Ardekani, Bijan Davvaz
exaly  

Normalizer Condition and Nilpotent Normal Subgroups

Journal of the London Mathematical Society, 1972
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On distortion of normal subgroups

Geometriae Dedicata, 2020
Hung Cong Tran
exaly  

Cosets of normal subgroups and powers of conjugacy classes

Mathematische Nachrichten, 2021
Antonio Beltran
exaly  

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