查询词典 automorphism

Coleman automorphism occurred first in the study of the normalizer Nu of G in the units U{RG of RG.

Coleman自同构始于研究有限群G在群环RG的单位群U中的正规化子。

If for any two t-edge sequences whose initial edges have non-empty intersection, there exists an automorphism of H mapping one to the other, then H is called locally weakly t-transitive.

若对於任二个 t-线序列，其第一个元素的交集并非空集合时，均存在一个 H 的自同构函数将其中一个对应到另外一个，则 H 称为局部弱 t-递移。

The major technique to get the information of structure of those free groups is to sudy the action of automorphisms on them. In this paper we show that every normal automorphism of a nontrivial free product of groups is inner as well. Traub[16] made a purely algebraic conjecture and showed that it implied Poincare"s Conjecture. He also showed that Poincare"s Conjecture implied this algebraic conjecture modulo another topological hypothesis.

在本文中我们给出任意两个非平凡群的自由积的每个正规自同构也是内自同构的；在文献[16]中，Traub给出了一个纯代数的猜想并证明了这个猜想蕴含着着庞加莱猜想的成立，并且作者也证明了在一个拓扑假设的前提下庞加莱猜想也同时蕴涵着猜想1是成立的，后来这个拓扑假设被Waldhausen([7])证明是成立的。

An interesting property of a universal homogeneous object is that not only all finite structures in the background category can be embedded into it, but also any such two embeddings can be transformed into each other by an automorphism of the universal object (and hence it is called homogeneous).

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In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。