Groups having two permutation representations with degrees differing by 1 have been studiedsince Galois [6] and Frobenius [5]. More recently, Saxl [11; Lemma 2] showed that Theorem 1can be proved very easily if G is assumed Page 7. ON GROUPS OF DEGREE AND rt...
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 ...
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...
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...
In this paper, we continue to investigate this question. 关键词: finite groups character degrees quotients hall π-subgroups Frobenius groups 被引量: 2 年份: 1996 收藏 引用 批量引用 报错 分享 全部来源 求助全文 知网 ResearchGate jmre.dlut.edu.cn 相似文献 引证文献...
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 ...
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....
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 ...