finite simple group 中文意思是什麼

finite simple group 解釋
有限單群
  • finite : adj. 有限的；【語法】限定的；【數學】有窮的，有盡的。n. 〈the finite〉 有限（性）； 〈集合詞〉有限物。adv. -ly ,-ness n.
  • simple : adj （ pler; plest）1 單純的；簡單的，簡易的；輕便的。2 質仆的，自然的，天真的；樸素的；率直的，...
  • group : n 1 群；批，簇。2 集團，團體，小組。3 【化學】基，團，組；（周期表的）屬，族。4 （雕塑等的）群像...
  1. Theorem 2. 4 let g be a non - abelian inner - finite group, each non - trivial proper subgroup of g is prime order cyclic group if and only if g is a simple group ; each proper subgroup of g is nilpotent ; and each non - trivial subgroup of g is self - normalizer

    4設g是非阿貝爾的內有限群，則g的每個非平凡真子群都是素數階循環群的充分必要條件是g是單群， g的每個真子群冪零且g的每個非平凡的真子群自正規化定理2
  2. The relationship of simple connectedness and 1 hochschild cohomology group is very clear for representation - finite algebras

    單連通性和一次hochschild上同調群之間的聯系，在有限表示型的情形已經很清楚了。
  3. This article puts forward a simple test method on whether or not finite collection g of defined multiply operation, can form a group and give a theoretical demonstration

    摘要本文對定義了乘法運算的有限集g能否構成群，提出了一種較為簡便的檢驗方法，並從理論上給予了論證。
  4. The most important idea is that over the complex numbers, an elliptic curve looks like a torus, and the points of finite order in the group of the curve have a very simple geometric description

    最重要的思想是復數域上的橢圓曲線是一個環面，曲線簇中的有限階點有簡單的幾何描述。
  5. Simple ideal extension of a group of prime order by a finite commutative nilpotent semigroup on a tree

    素數階群按樹上有限交換冪零半群的單純理想擴張
  6. Theorem 2. 5 let g be an infinite simple group that satisfies maximal condition. g is an inner - finite group and each non - trivial proper subgroup of g is abelian if and only if for each x in g, cg ( x ) is the only maximal subgroup that contain x. s * ( a *, c * ) - groups can be regarded as a generalizations of dedekind groups, since all of dedekind groups are s * ( a *, c * ) - groups

    5設g是滿足極大條件的無限單群，則g是內有限群，而且g的每個非平凡真子群是阿貝爾群的充分必要條件是對g的任意非平凡元x ，有c _ g （ x ）是g的含x的唯一極大子群且c _ g （ x ）是有限的。
  7. All graphs are finite simple undirected graph with no isolated vertices in this paper. it is completed the classification of graphs on which a semidihedral group acts edge - transitively

    摘要運用圖的自同構理論，獲得了關於半二面體群邊傳遞的圖的完全分類。
  8. In this paper, at first we study the inner - finite core - finite group in section 2. by investigating the inner - finite infinite simple groups, we have proved : theorem 2. 2 let g be a non - abelian inner - finite group and g = < a, b >. if one of a and b is an involution, then g is not a simple group

    2設g是由a和b兩元生成的非阿貝爾的內有限群，若a和b兩元中有對合，則z （ g ）含對合，因而g非單群；而且g不是內阿貝爾的。
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