The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups
The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups
复制标题
完全不连通局部紧群自同态的规模和整齐子群
DOI：
10.1007/s00208-014-1074-y
复制
发表时间：
2013
影响因子：
1.4
通讯作者：
G. Willis
中科院分区：
文献类型：
--
作者：
G. Willis
一个全不连通的局部紧群G的自同态的标度是最小指数[\alpha（U）：\alpha（U）\cap U]$$[α（U）：α（U）<$U]，其中U是G的紧开子群。建立了最小值子群的结构特征。这个特征将$$\alpha $$α的子群整齐的概念从以前理解的$$\alpha $$α是自同构的情况扩展到$$\alpha $$α仅仅是自同态的情况。
The scale of an endomorphism, $$\alpha $$α, of a totally disconnected, locally compact group $$G$$G is the minimum index $$[\alpha (U) : \alpha (U)\cap U]$$[α(U):α(U)∩U], for $$U$$U a compact, open subgroup of $$G$$G. A structural characterization of subgroups at which the minimum is attained is established. This characterization extends the notion of subgroup tidy for $$\alpha $$α from the previously understood case when $$\alpha $$α is an automorphism to the case when $$\alpha $$α is merely an endomorphism.