CONTRACTION GROUPS FOR TIDY AUTOMORPHISMS OF TOTALLY DISCONNECTED GROUPS
نویسندگان
چکیده
منابع مشابه
Tidy subgroups for commuting automorphisms of totally disconnected groups: An analogue of simultaneous triangularisation of matrices
Let α be an automorphism of the totally disconnected group G. The compact open subgroup, V , of G is tidy for α if [α(V ) : α(V ) ∩ V ] is minimised at V , where V ′ ranges over all compact open subgroups of G. Identifying a subgroup tidy for α is analogous to identifying a basis which puts a linear transformation into Jordan canonical form. This analogy is developed here by showing that commut...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2005
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089505002557