The structure of Auto-morphism groups of some special p -groups is analysised by the method of holomorph and semi-direct product.
利用全形及半直积的方法给出了一类特殊P-群自同构群的结构。
参考来源 - 若干LA
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Holomorph
abstract:In mathematics, especially in the area of algebra known as group theory, the holomorph of a group is a group which simultaneously contains (copies of) the group and its automorphism group. The holomorph provides interesting examples of groups, and allows one to treat group elements and group automorphisms in a uniform context.
By using thetheoriesinbasicalgebraaboutautomorphism, lefttranslation and normalsubgroup, in the holomorph ofGis discussedbriefly, and severalrelatedconclusions are obtained.