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Two-Torsion Subgroups of some Modular Jacobians [PDF]

open access: greenInternational Journal of Number Theory, 2022
We give a practical method to compute the 2-torsion subgroup of the Jacobian of a non-hyperelliptic curve of genus 3, 4 or 5. The method is based on the correspondence between the 2-torsion subgroup and the theta hyperplanes to the curve. The correspondence is used to explicitly write down a zero-dimensional scheme whose points correspond to elements ...
Elvira Lupoian
openalex   +3 more sources

Torsion generators of the twist subgroup [PDF]

open access: bronzeTohoku Mathematical Journal, 2022
10 pages, 6 figures.
Tüli̇n Altunöz   +2 more
openalex   +5 more sources

Bounds on the torsion subgroups of Néron–Severi groups [PDF]

open access: bronzeTransactions of the American Mathematical Society, 2020
Let X ↪ P r X \hookrightarrow \mathbb {P}^r be a smooth projective variety defined by homogeneous polynomials of degree ≤ d \leq d . We give an explicit upper bound on the order of the torsion subgroup ( NS
Hyuk Jun Kweon
openalex   +4 more sources

Strongly pure subgroups of separable torsion-free abelian groups [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1985
A subgroup S of an abelian group G is said to be strongly pure if to each \(a\in S\) there is a homomorphism \(f: G\to S\) such that \(f(a)=a\). The author proves that a countable strongly pure subgroup of a torsion-free completely decomposable abelian group is again completely decomposable.
Loyiso G. Nongxa
openalex   +2 more sources

A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three [PDF]

open access: diamondAnnales Mathematicae Silesianae, 2018
A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian group is described (in both cases
Woronowicz Mateusz
doaj   +2 more sources

Torsion-free subgroups of triangle groups [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1971
Certain torsion-free subgroups of various triangle groups are considered, the proof of their existence, and in some cases their calculation outlined. There is one section which treats certain specific triangle groups, and one which treats the general case.
R. D. Feuer
openalex   +4 more sources

Quadratic torsion subgroups of modular Jacobian varieties [PDF]

open access: greenIsrael Journal of Mathematics, 2019
arXiv admin note: text overlap with arXiv:1709 ...
Yuan Ren
openalex   +4 more sources

Torsion Groups with the Norm of pd-Subgroup of Finite Index

open access: goldResearches in Mathematics
The authors study the relations between the properties of torsion groups and their norms of $pd$-subgroups. The norm $N_G^{pdI}$ of $pd$-subgroups of a group $G$ is the intersection of the normalizers of all its $pd$-subgroups or a group itself, if the ...
T.D. Lukashova   +2 more
doaj   +3 more sources

On purifiable torsion-free rank-one subgroups [PDF]

open access: bronzeHokkaido Mathematical Journal, 2001
The paper deals with arbitrary (mixed) Abelian groups. The torsion-free subgroups of rank \(1\) that are (\(p\)-)purifiable, i.e., contained in a minimal (\(p\)-)pure subgroup (a (\(p\)-)pure hull), are characterized (Theorem~3.2). Theorem~2.9 probably contains what the author describes as ``the structure of pure hulls''.
Takashi Okuyama
openalex   +3 more sources

Coronal alignment does not enable to predict the degree of femoral and tibial torsion [PDF]

open access: yesJournal of Experimental Orthopaedics
Purpose Malalignment of the lower extremity can affect one, two or all three anatomic planes. We hypothesized an influence between the malalignment of the coronal and axial planes.
Leonard Grünwald   +4 more
doaj   +2 more sources

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