Results 41 to 50 of about 760,948 (301)
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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Surface subgroups of Kleinian groups with torsion [PDF]
Inventiones mathematicae, 2009 We prove that every finitely generated Kleinian group that contains a finite, non-cyclic subgroup either is finite or virtually free or contains a surface subgroup. Hence, every arithmetic Kleinian group contains a surface subgroup.
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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.
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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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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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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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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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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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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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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).
R. G. Burns, Donald Solitar
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