Results 31 to 40 of about 3,053 (239)
The general Ikehata theorem for H-separable crossed products
International Journal of Mathematics and Mathematical Sciences, 2000 Let B be a ring with 1, C the center of B, G an automorphism group of B of order n for some integer n, CG the set of elements in C fixed under G, Δ=Δ(B,G,f) a crossed product over B where f is a factor set from G×G to U(CG). It is shown that Δ is
George Szeto, Lianyong Xue
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Faster Positional‐Population Counts for AVX2, AVX‐512, and ASIMD
Concurrency and Computation: Practice and Experience, Volume 37, Issue 27-28, 25 December 2025.ABSTRACT The positional population count operation pospopcnt counts for an array of w$$ w $$‐bit words how often each of the w$$ w $$ bits was set. Various applications in bioinformatics, database engineering, and digital processing exist. Building on earlier work by Klarqvist et al., we show how positional population counts can be rapidly computed ...
Robert Clausecker +2 more
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Is Word Order Asymmetry Mathematically Expressible?
Biolinguistics, 2013 The computational procedure for human natural language (CHL) shows an asymmetry in unmarked orders for S, O, and V. Following Lyle Jenkins, it is speculated that the asymmetry is expressible as a group-theoretical factor (included in Chomsky’s third ...
Koji Arikawa
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Coincidence of two Swan conductors of abelian characters [PDF]
Épijournal de Géométrie Algébrique, 2019 There are two ways to define the Swan conductor of an abelian character of the absolute Galois group of a complete discrete valuation field. We prove that these two Swan conductors coincide.
Kazuya Kato, Takeshi Saito
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New Arcs in PG(3,8) by Singer Group
Al-Mustansiriyah Journal of Science, 2022 In this paper, studied the types of (k, r)-arcs were constructed by action of groups on the three-dimensional projective space over the Galois field of order eight. Also, determined if they form complete arcs or not.
Najm Abdulzahra Al-seraji +2 more
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Nontriviality of rings of integral‐valued polynomials
Mathematische Nachrichten, Volume 298, Issue 12, Page 3974-3994, December 2025.Abstract Let S$S$ be a subset of Z¯$\overline{\mathbb {Z}}$, the ring of all algebraic integers. A polynomial f∈Q[X]$f \in \mathbb {Q}[X]$ is said to be integral‐valued on S$S$ if f(s)∈Z¯$f(s) \in \overline{\mathbb {Z}}$ for all s∈S$s \in S$. The set IntQ(S,Z¯)${\mathrm{Int}}_{\mathbb{Q}}(S,\bar{\mathbb{Z}})$ of all integral‐valued polynomials on S$S ...
Giulio Peruginelli, Nicholas J. Werner
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On the Galois-invariant part of the Weyl group of the Picard lattice of a K3 surface [PDF]
, 2023 Wim Nijgh, Ronald van Luijk
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Numerical Computation of Galois Groups [PDF]
Foundations of Computational Mathematics, 2017 The Galois/monodromy group of a family of geometric problems or equations is a subtle invariant that encodes the structure of the solutions. Computing monodromy permutations using numerical algebraic geometry gives information about the group, but can only determine it when it is the full symmetric group. We give numerical methods to compute the Galois
Hauenstein, Jonathan D. +2 more
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Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets
Mathematische Nachrichten, Volume 298, Issue 12, Page 3779-3790, December 2025.Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
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On finite arithmetic groups [PDF]
International Journal of Group Theory, 2013 Let $F$ be a finite extension of $Bbb Q$, ${Bbb Q}_p$ or a globalfield of positive characteristic, and let $E/F$ be a Galois extension.We study the realization fields offinite subgroups $G$ of $GL_n(E)$ stable under the naturaloperation of the Galois ...
Dmitry Malinin
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