Results 1 to 10 of about 43,649 (128)
Dual Ore's theorem on distributive intervals of finite groups [PDF]
Journal of Algebra, 2018 This paper gives a self-contained group-theoretic proof of a dual version of a theorem of Ore on distributive intervals of finite groups. We deduce a bridge between combinatorics and representations in finite group theory.Comment: 8 pages. Self-contained
Palcoux, Sebastien
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Generalized Hopf–Ore Extensions of Hopf Group-Coalgebras
Mathematics, 2022 In this paper, we introduce the concept of a generalized Hopf–Ore extension of a Hopf group-coalgebra and give the necessary and sufficient conditions for the Ore extension of a Hopf group-coalgebra to be a Hopf group-coalgebra.
Ding-Guo Wang, Xing Wang
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On Indices of Septic Number Fields Defined by Trinomials x7 + ax + b
Mathematics, 2023 Let K be a septic number field generated by a root, α, of an irreducible trinomial, x7+ax+b∈Z[x]. In this paper, for every prime integer, p, we calculate νp(i(K)); the highest power of p dividing the index, i(K), of the number field, K. In particular, we
Lhoussain El Fadil
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A TOPOLOGICAL SPIN-STATISTICS THEOREM OR A USE OF THE ANTIPARTICLE [PDF]
Modern Physics Letters A, 1990 A spin-statistics theorem for spinning particles in ℝd is proved without using relativity or field theory, but assuming the existence of antiparticles. The theorem excludes non-abelian statistics such as parastatistics of order 2 and more for d≥3 and statistics based on nonabelian representations of the braid groups for d=2.
Balachandran, A P +5 more
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Applied Sciences, 2020 High-accuracy determination of a microseismic (MS) location is the core task in MS monitoring. In this study, a 3D multi-scale grid Green’s function database, depending on recording wavefield frequency band for the target mining area, is pre-generated ...
Yi Wang +3 more
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Ore-degree threshold for the square of a Hamiltonian cycle [PDF]
, 2014 A classic theorem of Dirac from 1952 states that every graph with minimum degree at least n/2 contains a Hamiltonian cycle. In 1963, P\'osa conjectured that every graph with minimum degree at least 2n/3 contains the square of a Hamiltonian cycle. In 1960,
DeBiasio, Louis +2 more
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Journal of Algebra, 1992 0. Ore (Math. Ann. 99. 1928, 84-I 17) developed a method for obtaining the absolute discriminant and the prime-ideal decomposition of the rational primes in a number field K. The method, based on Newton’s polygon techniques, worked only when certain polynomials /i(Y), attached to any side S of the polygon, had no multiple factors ...
Montes, Jesús, Nart, Enric
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Journal of Sustainable Mining, 2019 Ultimate pit limit is an important aspect of open pit mining. The optimal ultimate outline determines the tonnage of extractable ore, the volume of waste to be removed, the location of the subsidiary facilities, the location of ore and waste stockpiles ...
Meisam Saleki +2 more
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Ore-type versions of Brooks' theorem
Journal of Combinatorial Theory, Series B, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kierstead, H.A., Kostochka, A.V.
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On monogenity of certain pure number fields of degrees $2^r\cdot3^k\cdot7^s$ [PDF]
Mathematica BohemicaLet $K = \mathbb{Q} (\alpha) $ be a pure number field generated by a complex root $\alpha$ of a monic irreducible polynomial $ F(x) = x^{2^r\cdot3^k\cdot7^s} -m \in\bb{Z}[x]$, where $r$, $k$, $s$ are three positive natural integers.
Hamid Ben Yakkou, Jalal Didi
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