Results 51 to 60 of about 228,669 (269)
On Some Results of a Torsion-Free Abelian Trace Group
Recoletos Multidisciplinary Research Journal, 2014 In [6], givenany torsion-free abelian groups Gand H, the pure trace of Hin Gis *,:,GHHomfHfGHtr which is equivalent to the set ZnGHHomfHfngGgsomefor ,,:.The pure trace GHtr, is a pure fully invariant subgroup of G.
Ricky B. Villeta
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Free dihedral actions on abelian varieties
Cubo, 2021 We give a simple construction for hyperelliptic varieties, defined as the quotient of a complex torus by the action of a finite group $G$ that contains no translations and acts freely, with $G$ any dihedral group. This generalizes a construction given by
Bruno Aguiló Vidal
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Fuchs' problem for endomorphisms of abelian groups [PDF]
arXiv, 2023 L\'{a}szl\'{o} Fuchs posed the following question: which abelian groups arise as the group of units in a ring? In this paper, we investigate a related question: for such realizable groups $G$, when is there a ring $R$ with unit group $G$ such that every group endomorphism of $G$ is induced by a ring endomorphism of $R$? We answer this question for four
arxiv
physica status solidi (b), EarlyView.This work explores the design of Majorana zero modes in InAsP quatum dots within InP nanowires coupled to a p‐type superconductor. Using atomistic calculations, exact diagonalization, and the variational quantum eigensolver (VQE) method, a variational ansatz for capturing ground state in the topological phase is introduced.
Mahan Mohseni +7 more
wiley +1 more source
Normalizers and centralizers of subgroups in non-Abelian groups of small order [PDF]
Компьютерные исследования и моделирование, 2012 By applying the computer program, which is created by authors, we obtain the exact representation of normalizers and centralizers of all nontrivial subgroups in non-Abelian groups G under the condition |G|20.
Ilya Anatolievih Shilin +1 more
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Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware
Advanced Quantum Technologies, EarlyView.Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine +3 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 2003 Let p be a prime. It is shown that an automorphism α of an abelian p-group A lifts to any abelian p-group of which A is a homomorphic image if and only if α=π idA, with π an invertible p-adic integer.
S. Abdelalim, H. Essannouni
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Inversion Formula for the Wavelet Transform on Abelian Group
International Journal of Analysis and Applications, 2022 In this paper a reconstruction and inversion formula of the continuous wavelet transform on abelian group for band-limited function is defined. This formula possesses a more explicit expression than the well-known result.
C.P. Pandey +4 more
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The Hilton–Milnor theorem in higher topoi
Bulletin of the London Mathematical Society, EarlyView.Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
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Hereditary Coreflective Subcategories in Certain Categories of Abelian Semitopological Groups
Axioms, 2019 Let A be an epireflective subcategory of the category of all semitopological groups that consists only of abelian groups. We describe maximal hereditary coreflective subcategories of A that are not bicoreflective in A in the case that ...
Veronika Pitrová
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