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abelian adj.【數學】能成立可換定律的。 an A-group...

abercrombie

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。

With this method , in the present thesis , we will classify all the connected regular covering graphs of the cube satisfying the following two properties : ( 1 ) the covering transformation group is isomorphic to the elementary abelian p - group ; ( 2 ) the group of fibre - preserving automorphisms acts edge - transitively 本文中,我們用同一種方法分類立方體的正則連通覆蓋圖,并且滿足兩個條件,覆蓋變換群同構于初等交換p -群且保纖維自同構群是邊傳遞的。

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。

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

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。

The first part deals with the construction of semisymmetric graphs and the second part classifies the edge - transitive regular coverings of the cube , whose covering transformation groups are iso - morphic to the elementary abelian p - groups 第一部分是關于半對稱圖的分類,第二部分是關于立方體邊傳遞的正則覆蓋圖的分類,其覆蓋變換群同構于初等交換p -群。

Because of the non - abelian feature of strong interaction theory , it can not describe non - perturbative effect , so phenomenological models provide the main study method for relativistic nucleon - nucleon collisions 由于強相互作用理論的非abelian性,它不能定量描述非微擾效)許,所以唯象理論模型是目前研究相對論性核一核碰撞的主要斤法之。

In some finiteness conditions , we prove that there exists a natural abelian group homomorphism from the grothendieck group of r to the grothendieck group of a . in particular , the homomorphism is splitting if p is quasi - n - tilting 在適當的有限性條件下,我們證明了一個從r的grothendieck群到a的orothendieck群的自然的阿貝爾群同態。

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若局部有限尸群g是c “卜群,則g的類最多為3且g ’是初等阿貝爾p群

Theorem 3 . 3 if g is c ( p ) - group and p is an odd prime , then the derived subgroup of g is elementary abelian p - group 定理3 3若g是…群且尸是奇素數,則g ’是初等阿貝爾p群

He could not understand riemann ' s work on abelian functions nor roch ' s contributions in his dissertation 他不能理解riemann在abel函數方面的工作,也不懂roch論文中的論著。

Theorem 4 . 5 if locally soluble group g is c * ( w ) - group , then the chief factor of g is elementary abelian 5若局部可解群g是c卜群,則g的主因子是初等阿貝爾的

Linear estimation of the number of zeros of abelian integrals for cubic isochronous centers 對某些三維等時中心abel積分零點個數的線形估計

Category of abelian groups 阿貝耳群的范疇

On the structure of the gr - abelian regular rings 正則環的結構

Some public key cryptosystem extended to abelian group 一些公鑰密碼體制在阿貝爾群上的擴展

He could not understand riemann's work on abelian functions nor roch's contributions in his dissertation . 他不能理解Riemann在Abel函數方面的工作,也不懂Roch論文中的論著。