论文标题
稳定的suifthift自动形态群体
The stabilized automorphism group of a subshift
论文作者
论文摘要
对于有限类型的混合转移，相关的自身形态组具有丰富的代数结构，但是我们几乎没有标准可以区分两个这样的组何时是同构。我们介绍了自动形态群体的稳定，研究其代数特性，并使用它们来区分许多稳定的自动形态群体。我们还表明，为了进行完整的变化，由有限顺序的元素生成的稳定自多态群的子组很简单，并且稳定的自动形态群是通过这个简单组的自由亚伯群有限排名的延伸。
For a mixing shift of finite type, the associated automorphism group has a rich algebraic structure, and yet we have few criteria to distinguish when two such groups are isomorphic. We introduce a stabilization of the automorphism group, study its algebraic properties, and use them to distinguish many of the stabilized automorphism groups. We also show that for a full shift, the subgroup of the stabilized automorphism group generated by elements of finite order is simple, and that the stabilized automorphism group is an extension of a free abelian group of finite rank by this simple group.
