simple unitary groupWe describe the structure of a 2-Frobenius group isospectral to the finite simple group U 3 (3) and construct the corresponding examples.doi:10.1134/S0037446615060154MazurovSobolev Institute of Mathematics, Novosibirsk, Russia;Novosibirsk State University, Novosibirsk, Russia;V. D....
If G is a finite group, we define its prime graph Г( G ), as follows: its vertices are the primes dividing the order of G and two vertices p, q are joined by an edge, if there is an element in G of order pq. We denote the set of all the connected components of the graph ...
z)$ of a graded subring for non--symmetric and symmetric semigroups ${sf S}({f d}^3)$ are found. The upper bound for the number of non--zero coefficients in the polynomial numerators of Hilbert series $H({f d}^m;z)$ of graded subrings for non--symmetric semigroups ${sf S...
We study some questions on numerical semigroups of type 2. On the one hand, we investigate the relation between the genus and the Frobenius number. On the other hand, for two fixed positive integers g1, g2, we give necessary and sufficient conditions in order to have a numerical semigrou...
Let G be a group and $$\\\omega (G)=\\\{o(g)|g\\\in G\\\}$$ω(G)={o(g)|g∈G} be the set of element orders of G. Let $$k\\\in \\\omega (G)$$k∈ω(G) and $$s_k=|\\\{g\\\in G |o(g)=k\\\}|$$sk=|{g∈G|o(g)=k}|. Let $$nse(G)=\\\{...
Galois 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 L of f(x) has exactly...
It mentions that Frobenius proved a uniqueness result in 1902 with simple group of order in classification theorem. It also states that the note presents a Frobenius argument used in undergraduate honors algebra course.MonskyProfessorPaulProfessor...
In this article, we apply general results about adjoint invariants of Frobenius kernels for the general linear group GL(m) established by Marko (Adjoint invariants of Frobenius kernels of GL(m) and elements of the center of Dist(GL(m)). Commun. Algebra, 2019;47(12):5317–5337), and ...
数字半群多重性Frobenius数字集合整数有限For a numerical semigroup, we introduce the concept of a fundamental gap with respect tothe multiplicity of the ... - 《数学学报(英文版)》 被引量: 37发表: 2004年 加载更多 来源期刊 臺灣大學數學研究所學位論文 2007 研究点推荐 Frobenius問題 Frobenius 問題...
Dihedral defect groupFrobenius–Schur indicatorExtended defect groupSubpairsLet B be a real 2-block of a finite group G. A defect couple of B is a certain pair ( D , E ) of 2-subgroups of G, such that D is a defect group of B, and D ⩽ E. The block B is principal if E ...