As an application to 2-Frobenius groups, it is proved that if a finite Frobenius group BC with complement C of order t acts on a finite group A so that AB is also a Frobenius group, (t, A) = 1, and CA(C) is abelian, then A is nilpotent of class bounded above in terms of t...
摘要: It is proved that the prime graph of a Frobenius group and a2-HFrobenius group has exactly two components ,and some properties of these two kinds of groups are given in this paper.Especially ,it isproved ttiat 2-Frobenius groups are soluable. 关键词: Frobenius group 2-Frobenius group...
doi:10.1134/S0037446615060154FrobeniusgrouprecognizablegroupsimpleunitarygroupspectrumWe describe the structure of a 2-Frobenius group isospectral to the finite simple group U(3) and construct the corresponding examples.SpringerSiberian Mathematical Journal...
The complete list of pairs of non-isomorphic finite simple groups having the same order is well-known. In particular for p>3, PSL_2(Z/p) is the "only" simple group of order (p^3-p)/2. It's less well-known that Frobenius proved this uniqueness result in 1902. This note presents ...
Spearman BK.;Williams KS.;Yang QD.; 作者单位 收录信息 原文格式PDF 正文语种eng 中图分类代数、数论、组合理论; 关键词 Frobenius group;Subfields of splitting field;Galois group; 机译:Frobenius群;分裂场的子场;Galois群; 入库时间2022-08-18 09:36:37...
More detailed descriptions of the p-numerical semigroups and their symmetric properties can be found in [13]. The Frobenius problem (also known as the coin exchange problem, postage stamp problem, or Chicken McNugget problem) has a long history and is one of the popular problems that has ...
By Tits' deformation argument, a generic Iwahori--Hecke algebra $H$ associated to a finite Coxeter group $W$ is abstractly isomorphic to the group algebra of $W$. Lusztig has shown how one can construct an explicit isomorphism, provided ... M Geck 被引量: 318发表: 2007年 Hecke algebras...
The Frobenius number F d3 , genus G d3 and Hilbert series H(d3;z) of a graded subring for non-symmetric and symmetric semigroups S d3 are found. The upper bound for the number of non-zero coefficients in the polynomial numerators of Hilbert series H(dm;z) of graded subrings for...
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 prove the following Frobenius reciprocity theorem for operator modules over group C*-algebras: The functor of unitary induction for a closed subgroup H of a locally compact group G admits a left adjoint in this setting if and only if H is cocompact in G. The adjoint functor is given by...