05 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 ...
Y u i, Polynomials with Frobenius groups of prime degree as Galois groups II , J. Number Theory 24 (1986), 305-359.A. Bruen, C.U. Jensen and N. Yui, Polynomials with Frobenius groups of prime degree as Galois groups II, J. Number Theory 24 (1986), 305-359....
Let G be a f i nite group and N be a non-trivial normal subgroup of G, such that the averagecharacter degree of irreducible characters in Irr(G|N) is less than or equal to 16/5. Then we provethat N is solvable. Also, we prove the solvability of G, by assuming that the average...
Let 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 L of f(x) has exactly one subfiel...
Note that every nonabelian solvable group G has a normal subgroup K such that either G/K is a p-group or a Frobenius group (in both cases all proper epimorphic images of G/K are abelian). In Theorem 5.2, the second case is considered, under the additional assumption that |(G/K):(...
Classifying a family of edge-transitive metacirculant graphs A characterization is given of the class of edge-transitive Cayley graphs of Frobenius groups Z(pd) : Z(q) with p, q odd prime, of valency coprime to p. Th... Song,ShuJiao,Li,... - Kluwer Academic Publishers 被引量: 15发表...
Finite solvable groups with small number of nonlinear irreducible characters having equal degree 来自 知网 喜欢 0 阅读量: 19 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 ...
1. The 2-power degree subfields of the splitting fields of polynomials with Frobenius Galois groups [J] . Spearman BK., Williams KS., Yang QD. Communications in algebra . 2003,第10期 机译:具有Frobenius Galois群的多项式分解字段的2次幂子字段 2. Isomorphism theorems for Galois groups of...
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
Let σ be the Frobenius automorphism of Fqn defined by σ(z)=zq for all z∈Fqn. Then σ acts Fq-linearly on Fqn and we find that στσ−1=τq, so that σ normalizes Z. The group generated by τ and σ acts on Fqn. We call this group the semilinear group of degree 1 and...