On quasi-convex null sequences in infinite cyclic groups
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Lydia Außenhofer
Abstract
We prove that for certain irrational numbers α, there exist quasi-convex null sequences in the subgroup generated by
Acknowledgements
I am deeply indebted to Gabor Lukács for his interest in this topic, for valuable hints toward the first draft of this paper and, in particular, for pointing out a significant simplification of the proof of Corollary 3.4. I also wish to express my deep gratitude to Dikran Dikranjan for many helpful comments concerning the organization of the paper and for the formulation of the Questions 4.5 to 4.7.
References
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Articles in the same Issue
- Frontmatter
- Distinct distances between points and lines in 𝔽q2
- A global perspective to connections on principal 2-bundles
- Integral group rings of solvable groups with trivial central units
- Lefschetz property and powers of linear forms in 𝕂[x,y,z]
- On quasi-convex null sequences in infinite cyclic groups
- On autocommutators and the autocommutator subgroup in infinite abelian groups
- Anticyclotomic p-ordinary Iwasawa theory of elliptic modular forms
- Finite-dimensional representations of Leavitt path algebras
- Orlicz dual affine quermassintegrals
- Universal locally finite maximally homogeneous semigroups and inverse semigroups
- Von Neumann algebras, L-algebras, Baer *-monoids, and Garside groups
- Boundedness and compactness of Hardy-type integral operators on Lorentz-type spaces
- A shifted convolution sum for \mathrm{GL}(3) × \mathrm{GL}(2)
- Equivariant Gauss sum of finite quadratic forms
- Right 2-Engel elements, central automorphisms and commuting automorphisms of Lie algebras
-
Solution of Brauer’s
