trivial group 中文意思是什麼
trivial group
解釋
當然群-
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 -
A classification of certain separable c * - algebras of real rank zero with trivial ki - group is given in second part. we construct all the extensions of cuntz algebras by the compact operators, and compute their k - theory
第二部分討論了某些具有實秩零及平凡的k _ 1群的可分c ~ * -代數的分類，我們先構造出cuntz代數通過緊運算元的所有的擴張，並計算它們的k -群。 -
Graded triangular extensions and graded trivial extensions over a ring are defined respectively, and the relation between them with grade morita dualities and their initial subrings with morita dualities is discussed. the graded selfduality of a polynomial ring in multivariables over a cogenerator ring as a graded ring of type different group i
?討論了餘生成子環上的多元多項式環作為不同群的分次環的分次自對偶問題，並證明了有自對偶的環的一種特殊的分次三角擴張有分次自對偶 -
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。 -
They are, in general, neither finite nor purely infinite. however, the class includes all af - algebras. and all kirchberg algebras with uct and trivial k1 - group
一般來說，這些c ~ * -代數不一定是單的，也不一定是純無限的，但它包含了所有的af -代數，及所有滿足uct且有平凡的k _ 1群的kirchberg代數。
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