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81.
XU Mingchun 《中国科学A辑(英文版)》2006,49(9)
In this paper the author has solved a problem of Abe and liyori for the finite simple groups 2F4(q) and 2F4(2)'. 相似文献
82.
Stan Gudder 《Foundations of Physics》2006,36(8):1160-1192
Although a few new results are presented, this is mainly a review article on the relationship between finite-dimensional quantum mechanics and finite groups. The main motivation for this discussion is the hidden subgroup problem of quantum computation theory. A unifying role is played by a mathematical structure that we call a Hilbert *-algebra. After reviewing material on unitary representations of finite groups we discuss a generalized quantum Fourier transform. We close with a presentation concerning position-momentum measurements in this framework. 相似文献
83.
84.
CHANGPING WANG 《Geometriae Dedicata》1997,65(3):323-353
In this paper a complete classification of equiaffine homogeneous surfaces in 4 with indefinite flat affine metric is given. 相似文献
85.
L. N. Vaserstein 《K-Theory》1989,2(5):647-673
We consider a module with an alternating form over a commutative ring. Under certain conditions, which hold, for example, when the form is nonsingular and the module is projective of rank 6 and contains a unimodular vector, we describe all subgroups of the symplectic group which are normalized by symplectic transvections. This generalizes many previous results of Dickson, Klingenberg, Abe, Bak, et al. 相似文献
86.
《代数通讯》2013,41(2):789-798
We introduce the concept of decimal extension of the additive group of integers. We characterize these extensions as the linearly ordered abelian groups containing at least one Archimedean element. Finally, we study the additive group of rationals and its subgroups as particular cases of decimal extension. 相似文献
87.
In this paper, we investigate the finite groups all of whose non-normal nilpotent subgroups are cyclic. We show that such groups are solvable with cyclic centers. If G is a non-supersolvable group, then G has only one non-cyclic Sylow subgroup which is either isomorphic to Q8 or is of type (q, q). 相似文献
88.
《代数通讯》2013,41(9):3225-3238
ABSTRACT A cover for a group G is a collection of proper subgroups whose union is the whole group G. A cover is irredundant if no proper sub-collection is also a cover, and is called maximal if all its members are maximal subgroups. For an integer n > 2, a cover with n members is called an n-cover. Also, we denote σ (G) = n if G has an n-cover and does not have any m-cover for each integer m < n. In this article, we completely characterize groups with a maximal irredundant 6-cover with core-free intersection. As an application of this result, we characterize the groups G with σ (G) = 6. The intersection of an irredundant n-cover is known to have index bounded by a function of n, though in general the precise bound is not known. We also prove that the exact bound is 36 when n is 6. 相似文献
89.
Bangming Deng 《代数通讯》2013,41(10):3419-3434
Let G be a group and let N be a normal subgroup of G. We set cd(G|N) to be the degrees of the irreducible characters of G whose kernels do not contain N. We associate a graph with this set. The vertices of this graph are the primes dividing degrees in cd(G|N), and there is an edge between p and q if pq divides some degree in cd(G|N). In this paper, we study this graph when it is disconnected, and we study its diameter when it is connected. 相似文献
90.
Wen Bin Guo 《数学学报(英文版)》2008,24(10):1751-1757
In this paper, we prove the following theorem: Let p be a prime number, P a Sylow psubgroup of a group G and π = π(G) / {p}. If P is seminormal in G, then the following statements hold: 1) G is a p-soluble group and P' ≤ Op(G); 2) lp(G) ≤ 2 and lπ(G) ≤ 2; 3) if a π-Hall subgroup of G is q-supersoluble for some q ∈ π, then G is q-supersoluble. 相似文献