Here's an example sentence that uses the term "rational subgroup": "The study of rational subgroups of the symmetric group is an important topic in group theory." 这句话的意思是:“对称群的理性子群的研究是群论中的重要主题。”©2022 Baidu |由 百度智能云 提供计算服务 | 使用百度前必读 | ...
A covering of G is a set of proper subgroups, whose union is equal to G. The least number of covering is denoted by σ(G) and a covering of cardinality σ(G) is called a minimal covering. In this paper, we investigate the minimal covering of symmetric group of degree nine, S9. In...
Group: A mathematical group is a set of elements and a binary operation that together satisfy the four fundamental properties of closure, associativity, the identity property, and the inverse property. Subset: A subset is a portion of a set. Subsets can also consist of the entire set or be...
Let $G_k$ be a connected reductive algebraic group over an algebraicallyclosed field $k$ of characteristic $\neq 2$. Let $K_k \subset G_k$ be aquasi-split symmetric subgroup of $G_k$ with respect to an involution$\theta_k$ of $G_k$. The classification of such involutions is ind...
Define Isotropy subgroup. Isotropy subgroup synonyms, Isotropy subgroup pronunciation, Isotropy subgroup translation, English dictionary definition of Isotropy subgroup. Noun 1. group action - action taken by a group of people event - something that happ
Let Γ = GSp (2l, R) be the general symplectic group of rank l over a commutative ring R such that 2 ∈ R*; and let ν be a symmetric equivalence relation on the index set {1,…, l, l,…, 1} all of whose classes contain at least 3 elements. In the present paper, we ...
Subgroup coverings of symmetric group of degree nine LetGbe a finite group. A covering ofGis a set of proper subgroups, whose union is equal toG. The least number of covering is denoted by σ(G) and a covering of cardinality σ(G) is called a minimal covering. In this paper, we inves...
Then the maximal subgroups MM of SnSn fall into three classes: (i)(i) (intransitive)... group-actions symmetric-groups maximal-subgroup LDH 11 asked Sep 19 at 8:48 2 votes 1 answer 115 views G2 as a subgroup of SO(7) from extended Dynkin diagrams? As it is shown in the...
Our problem, QSCDff, is to distinguish between two types of random coset states with a hidden permutation over the symmetric group of finite degree. This naturally generalizes the commonly-used distinction problem between two probability distributions in computational cryptography. As our major ...
The main goal of this paper is a calculation of the integral (co)homology of the group of symmetric automorphisms of a free product. We proceed by giving a... JT Griffin - 《Proceedings of the London Mathematical Society》 被引量: 17发表: 2013年 The Automorphism Group of a Free-by-Cycl...