Results 51 to 60 of about 773,208 (320)
On the Noether Problem for torsion subgroups of tori [PDF]
Pacific Journal of Mathematics, 2020 We consider the Noether Problem for stable and retract rationality for the sequence of $d$-torsion subgroups $T[d]$ of a torus $T$, $d\geq 1$. We show that the answer to these questions only depends on $d\pmod{e(T)}$, where $e(T)$ is the period of the generic $T$-torsor.
openaire +4 more sources
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
doaj +1 more source
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 ...
Norbert J. Wielenberg +3 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
core +3 more sources
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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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
core +2 more sources
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
core +4 more sources
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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Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups [PDF]
Canadian mathematical bulletin, 2020 A Grigorchuk-Gupta-Sidki (GGS-)group is a subgroup of the automorphism group of the $p$-adic tree for an odd prime $p$, generated by one rooted automorphism and one directed automorphism.
Dominik Francoeur, A. Thillaisundaram
semanticscholar +1 more source
The number of torsion divisors in a strongly F-regular ring is bounded by the reciprocal of F-signature [PDF]
Communications in Algebra, 2020 Polstra showed that the cardinality of the torsion subgroup of the divisor class group of a local strongly F-regular ring is finite. We expand upon this result and prove that the reciprocal of the F-signature of a local strongly F-regular ring R bounds ...
Isaac Martin
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