Results 31 to 40 of about 48,794 (204)
The Indices of Torsion-Free Subgroups of Fuchsian Groups [PDF]
Proceedings of the American Mathematical Society, 1983 Elementary algebraic techniques are used to obtain the precise possible indices of torsion-free subgroups of finite index of finitely generated Fuchsian groups (and related groups).
Burns, R. G., Solitar, Donald
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A criterion to rule out torsion groups for elliptic curves over number fields [PDF]
, 2015 We present a criterion for proving that certain groups of the form $\mathbb Z/m\mathbb Z\oplus\mathbb Z/n\mathbb Z$ do not occur as the torsion subgroup of any elliptic curve over suitable (families of) number fields. We apply this criterion to eliminate
Bruin, Peter, Najman, Filip
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A generalization of decomposition in orbifolds
Journal of High Energy Physics, 2021 This paper describes a generalization of decomposition in orbifolds. In general terms, decomposition states that two-dimensional orbifolds and gauge theories whose gauge groups have trivially-acting subgroups decompose into disjoint unions of theories ...
Daniel G. Robbins +2 more
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On automorphism groups of Toeplitz subshifts [PDF]
, 2017 In this article we study automorphisms of Toeplitz subshifts. Such groups are abelian and any finitely generated torsion subgroup is finite and cyclic.
Donoso, Sebastián +3 more
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Discussiones Mathematicae - General Algebra and Applications, 2017 It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
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The truth about torsion in the CM case [PDF]
, 2015 We show that the upper order of the size of the torsion subgroup of a CM elliptic curve over a degree d number field is d log log d.Comment: 6 pages.
Aoki +17 more
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A GIT interpretration of the Harder-Narasimhan filtration [PDF]
, 2014 An unstable torsion free sheaf on a smooth projective variety gives a GIT unstable point in certain Quot scheme. To a GIT unstable point, Kempf associates a "maximally destabilizing" 1-parameter subgroup, and this induces a filtration of the torsion free
Alfonso Zamora +9 more
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Abelian group in a topos of sheaves: torsion and essential extensions
International Journal of Mathematics and Mathematical Sciences, 1989 We investigate the properties of torsion groups and their essential extensions in the category AbShL of Abellan groups in a topos of sheaves on a locale. We show that every torsion group is a direct sum of its p-primary components and for a torsion group
Kiran R. Bhutani
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On twists of modules over non-commutative Iwasawa algebras [PDF]
, 2015 It is well known that, for any finitely generated torsion module M over the Iwasawa algebra Z_p [[{\Gamma} ]], where {\Gamma} is isomorphic to Z_p, there exists a continuous p-adic character {\rho} of {\Gamma} such that, for every open subgroup U of ...
Jha, Somnath +2 more
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Classifying Torsion-Free Subgroups of the Picard Group [PDF]
Transactions of the American Mathematical Society, 1984 Torsion-free subgroups of finite index in the Picard group are the fundamental groups of hyperbolic 3 3 -manifolds. The Picard group is a polygonal product of finite groups. Recent work by Karrass, Pietrowski and Solitar on the subgroups of a polygonal product make it feasible to calculate all the torsion-free subgroups of any finite ...
Brunner, Andrew M. +3 more
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