1. In other words it has a large automorphism group.
换言之，它有大的自同构群。
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2. An automorphism of a map is an isomorphism from the map to itself.
一个地图的自同构就是到它本身的一个同构。
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3. In this paper, we study the automorphism of a type of non-associative algebra.
本文研究了一类非结合代数的自同构。
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4. We can distinguish nonlinear automorphism of polynomials algebra by using the test polynomials.
给出了一类新的试验多项式，可识别多项式代数的非线性自同构。
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5. It is proved that a simple graph G is automorphism line graph if and only if the graph G is 2-regular graph.
首次给出自构线图的定义，并证明：简单图G为自构线图的充要条件是图G为2-正则简单图。
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6. Finally, the structures of the automorphism groups of W and its universal central extension are characterized.
最后确定了W及其泛中心扩张的自同构群的结构。
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7. In Chapter 2, we investigate the longest elements and the corresponding special automorphism of finite reflection groups.
第二章，主要研究有限反射群的最长元以及和最长元相对应的有限反射群的自同构。
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8. In this note, we establish a mild condition on A such that every Jordan automorphism of A is either an isomorphism or an anti-isomorphism.
如果代数A满足我们建立的一个温和的条件，则必为同构或者是反同构。
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9. The outer automorphism group of the free product of two cyclic groups is constructed, and two exact formulas for calculating its order are established.
具体地构造出两个有限循环群的自由积的外自同构群，并给出了其阶的计算公式。
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10. We introduce the conception of involutorial anti automorphism over distributive pseudolattices, define and get some properties of M-P inverse of matrix.
在分配伪格上引入对合反自同构和矩阵M-P逆的概念，得到矩阵M-P逆的若干性质。
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11. Under this assumption, the present paper further gives a characterization for the automorphism group of C( G, S) in terms of the quotient di-graph and the kernel K.
在这个假定下，我们进一步根据商有向图及核K为C（G，S）的自同构群刻划出了一系列特性。
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12. It is often very difficult to identify the structure of the automorphism group and the inner automorphism group of a group, and there is no general theory and method.
确定一个群的自同构群和内自同构群的结构往往十分困难，还没有一般性的理论及方法。
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13. In this paper, we define real form of infinite rank affine Lie Algebra and we also give its some types of compact real form which is proved unique under automorphism.
给出了无限秩仿射李代数的实形和某种类型的紧效实形的定义，并证明了这种紧致实形在自同构下的唯一性。
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14. By using the theories in basic algebra about automorphism, left translation and normal subgroup, in the holomorph of G is discussed briefly, and several related conclusions are obtained.
15. By using the theories in basic algebra about automorphism, left translation and normal subgroup, in the holomorph of G is discussed briefly, and several related conclusions are obtained.
To take another example, elliptic geometries with different radii of curvature have isomorphic automorphism groups. 在举一例，不同曲率半径的椭圆几何有同构的自同构群。
We shall use algebraic methods to study graphs which are highly regular although this regularity is not expressed in terms of the automorphism group. 我们将用代数方法来研究高度正则的图，尽管这种正则性不是用自同构群来表达的。
