finite abelian group 中文意思是什麼
finite abelian group
解釋
有限阿貝耳群-
Theorem 3. 9 if g is locally finite p - group and c * ( p ) - group, then the nilpotent class of g is at most 3 and the derived subgroup of g is elementary abelian p - group
定理39若局部有限屍群g是c 「卜群，則g的類最多為3且g 』是初等阿貝爾p群 -
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 -
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。 -
In terms of sub - shifts of finite type determined by an irreducible matrix, affine maps of compacted connected metric abelian group and continuous maps of tree, the two concepts of topologically ergodic map and topologically transitive map are identical
指出對于由不可約方陣所決定的符號空間有限型子轉移而言，或緊致交換群的仿射變換及樹上連續自映射而言，拓撲遍歷與拓撲可遷這兩個概念是一致的。 -
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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