13.A Note to the Frobenius-Perron operator and invariant measure关于Frobenius-Perron算子、不变测度的一点注记 14.At Kai En, we focus first on fluency and secondly on accuracy.在凯恩,我们首先关注流利度,其次才是准确度。 15.The Notes on Product of Capacities Derived from Additive Measures;关于可...
Finite solvable groups with small number of nonlinear irreducible characters having equal degree 来自 知网 喜欢 0 阅读量: 22 作者: G Qian 摘要: ehn k≥2 ,it is proved that G is a D k group if and only if (1) G=H×G′ is a Frobenius group with kernel G′ of prime power group ...
Infinite Systems of Linear Equations 49:58 Fluctuations in the distribution of Frobenius automorphisms in number field exte 56:12 Filtrations, Mild groups and Arithmetic in an Equivariant context 50:55 Dynamics and Wakes of a Fixed and Freely Moving Angular Particle in an Inertial 42:40 ...
Let G be a connected reductive algebraic group in characteristic p and F a Frobenius endomorphism of G. For each rational maximal torus T of G and character θ∈Irr(TF), Deligne–Lusztig’s twisted induction RTG is used to define the Deligne-Lusztig character RTG(θ). Let G∗ be an al...
We compute generating functions for the sum of the real-valued character degrees of the finite general linear and unitary groups, through symmetric function computations. For the finite general linear group, we get a new combinatorial proof that every real-valued character has Frobenius鈥揝chur ...
Symmetry degree is utilized to characterize the asymmetry of a physical system with respect to a symmetry group. The scalar form of symmetry degree (SSD) based on Frobenius-norm has been introduced recently to present a quantitative description of symmet
FROBENIUS groupsHOMOMORPHISMSCONJUGACY classesKERNEL functionsABELIAN groupsLet G be a finite group. An irreducible character χ is called monolithic when the factor group G/ker (χ) has unique minimal normal subgroup. In this paper, we prove that for the smallest prime q dividing ...
Subfields of splitting fieldGalois groupLet f(x) be an irreducible polynomial of odd degree n > 1 whose Galois group is a Frobenius group. We suppose that the Frobenius complement is a cyclic group of even order h. Let 2t h. For each i = 1, 2,, t we show that the splitting field...
Backelin, J.: On the rates of growth of the homologies of Veronese subrings. In: Algebra, Algebraic Topology and Their Interactions (Stockholm, 1983), pp. 79–100. Lecture Notes in Mathematics, vol. 1183. Springer, Berlin (1986) Brion, M., Kumar, S.: Frobenius splitting methods in geo...
For efficiency reasons, of most interest are the latter, for which the parametrisation of the base field, group cardinality and trace of Frobenius are given by: p(x) = x2 + 1 r(x) = x2 − x + 1 t(x) = x + 1 Using the method of Scott et al. [32] the final ...