排序方式: 共有67条查询结果,搜索用时 62 毫秒
11.
Marjeta Kramar 《Linear and Multilinear Algebra》2013,61(1):13-25
We describe the structure of irreducible matrix groups with submultiplicative spectrum. Since all such groups are nilpotent, the study is focused on p-groups. We obtain a block-monomial structure of matrices in irreducible p-groups and build polycyclic series arising from that structure. We give an upper bound to the exponent of these groups. We determine all minimal irreducible groups of p× p matrices with submultiplicative spectrum and discuss the case of p 2× p 2 matrices if p is an odd prime. 相似文献
12.
Qinhai ZHANG 《Frontiers of Mathematics in China》2022,17(1):1
We survey some unsolvable conjectures in finite p-groups and their research progress. 相似文献
13.
In this paper we study the possible orders of a non-abelian representation group of a slim dense near hexagon. We prove that
if the representation group R of a slim dense near hexagon S is non-abelian, then R is a 2-group of exponent 4 and |R|=2
β
, 1+NPdim(S)≤β≤1+dimV(S), where NPdim(S) is the near polygon embedding dimension of S and dimV(S) is the dimension of the universal representation module V(S) of S. Further, if β=1+NPdim(S), then R is necessarily an extraspecial 2-group. In that case, we determine the type of the extraspecial 2-group in each case. We
also deduce that the universal representation group of S is a central product of an extraspecial 2-group and an abelian 2-group of exponent at most 4.
This work was partially done when B.K. Sahoo was a Research Fellow at the Indian Statistical Institute, Bangalore Center with
NBHM fellowship, DAE Grant 39/3/2000-R&D-II, Govt. of India. 相似文献
14.
Claudia Broecker Ralph-Hardo Schulz Gernot Stroth 《Designs, Codes and Cryptography》1997,10(2):137-143
We show that the Sylow 2-subgroups of nearly all Chevalley groups in even characteristic allow the definition of a check-character-system which detects all single and the most important double errors. 相似文献
15.
Ahmet Arıkan 《代数通讯》2013,41(10):3643-3657
Call a group G hypersolvable if it has an ascending series with G/CG(A) solvable for each factor A of the series. In this article we establish some basic facts about hypersolvable groups. We also prove that if G is a perfect Fitting p-group such that every proper subgroup is contained in a proper normal subgroup, then G has a proper non-hypersolvable subgroup. 相似文献
16.
We prove that the Tate cohomology groups ?n(G∕Φ(G),Z(Φ(G))) are non-trivial, whenever G is a finite p-group of class 3, or the pth term of the upper central series of G contains Z(Φ(G)). This confirms a conjecture of Schmid for these groups. 相似文献
17.
阎满富 《纯粹数学与应用数学》1999,15(4):88-91
一个有限p群p称为亚循环的,如果P有一个循环的正规子群A,使得PA是循环的.1973年King在文[2]中对亚循环p群进行了分类;在文[4,5]中M.F.NewmanandMingYaoXu发现了这些群的新的表示,给出了新的分类方法,这种方法是由p群生成算法(见文[3])得到的.本文的目的是给这些结果的另一种证明,与p群生成算法是不相关的. 相似文献
18.
We classify completely three-generator finite p-groups G such that Ф(G)≤Z(G)and|G′|≤p2.This paper is a part of the classification of finite p-groups with a minimal non-abelian subgroup of index p,and solve partly a problem proposed by Berkovich. 相似文献
19.
李志秀 《数学的实践与认识》2014,(22)
给定了一个群G,若存在另外的一个群H,能够使得H/Z(H)≌G,则称G是capable群.对cable群进行研究在p-群分类问题的研究中起着相当重要的作用.完全决定了亚循环的capable p-群G. 相似文献
20.
确定图的交叉数是NP.完全问题.目前已确定交叉数的六阶图与星图的笛卡尔积图极少。本文确定了—个六阶图G与星图5k积图的交叉数为Z(6,n)+2n+[n/2]. 相似文献