Results 31 to 40 of about 49,111 (227)
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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On torsion subgroups of Lie groups [PDF]
Proceedings of the American Mathematical Society, 1976 We are concerned with torsion subgroups of Lie groups. We extend the classical result of C. Jordan on the structure of finite linear groups to torsion subgroups of connected Lie groups.
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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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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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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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Fully inert subgroups of torsion-complete p-groups
Journal of Algebra, 2020 A subgroup \(H\) of an abelian group \(G\) is called fully inert if the quotient \((H+\phi(H))/H\) is finite for every endomorphism \(\phi\) of \(G\). This is a common generalization of the notions of fully invariant, finite and finite-index subgroups.
Brendan Goldsmith, Luigi Salce
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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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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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Extensions of group retractions
International Journal of Mathematics and Mathematical Sciences, 1980 In this paper a condition, which is necessary and sufficient, is determined when a retraction of a subgroup H of a torsion-free group G can be extended to a retraction of G.
Richard D. Byrd +3 more
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