论文标题
半自动形态循环小组
Half-automorphism group of Chein loops
论文作者
论文摘要
如果$ f（x）\ in \ {f（x）f（y），f（y）f（y）f（x）\} $，对于任何$ x，y \ in l $，则二$ l $的双重$ f $是半自动形态。当它既不是自动型也不是反自动形态的，半自动形态是不繁琐的。 Chein Loop $ l = g \ cup gu $是由$ g $构建的moufang循环，$ g $ $ u $ $ u $ $ 2 $以外的$ g $。在本文中，描述了有限的Chein循环的半自动形态。
A bijection $f$ of a loop $L$ is a half-automorphism if $f(xy)\in \{f(x)f(y),f(y)f(x)\}$, for any $x,y\in L$. A half-automorphism is nontrivial when it is neither an automorphism nor an anti-automorphism. A Chein loop $L=G\cup Gu$ is a Moufang loop constructed from a group $G$ and an element $u$ of order $2$ outside of $G$. In this paper, the half-automorphism group of finite Chein loops is described.
