Journal ArticleDOI
Automorphisms of the fuchsian groups op type (0;2,2,2,q;0)
R.N. Kalia,Gerhard Rosenberge +1 more
TLDR
In this article, the authors define automorphisms of the fuchsian groups op type (0;2,2 2,2, 2,q;0) op type.Abstract:
(1978). Automorphisms of the fuchsian groups op type (0;2,2,2,q;0) Communications in Algebra: Vol. 6, No. 11, pp. 1115-1129.read more
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Primitive, Almost Primitive, Test, and Δ-Primitive Elements of Free Algebras with the Nielsen–Schreier Property
Alexander A. Mikhalev,Jie-Tai Yu +1 more
TL;DR: In this paper, the authors studied generalized primitive elements of free algebras of finite ranks with the Nielsen-Schreier property and their automorphic orbits, and proved that an endomorphism preserving an automomorphic orbit of a nonzero element of a free algebra of rank two is an automorphism.
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Test words, generic elements and almost primitivity
TL;DR: In this article, it was shown that an almost primitive element which lies in a certain type of verbal subgroup must be a test word and that test words are strong forms of non-primitive elements.
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Commutators, generators and conjugacy equations in groups
Patricia Hill,Stephen J. Pride +1 more
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Two-generator arithmetic Fuchsian groups
TL;DR: In this article, it was shown that for any n, there are only finitely many conjugacy classes of arithmetic Fuchsian groups of given signature (1, n; 0), n ≽ 2 or (0; 2,2, 2, n, 0).
References
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Die Isomorphismen der allgemeinen, unendlichen Gruppe mit zwei Erzeugenden
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Discrete Groups of Motions
TL;DR: In this paper, the authors dealt with the discrete groups of rigid motions of the hyperbolic plane and showed that the finitely generated, orientation-preserving groups have the following presentations: Generators:. Defining relations: where km = ambmam -1bm -1.
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Über die Nielsensche Kürzungsmethode in freien Produkten mit Amalgan
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Über Erzeugende Ebener Diskontinuierlicher Gruppen
TL;DR: Besitzt eine endlich erzeugte, diskrete Gruppe G von Automorphismen der oberen Halbebene einen kompakten Fundamentalbereich, so last sich G darstellen durch 龍円.