Hypercyclicity Properties of Commutator Maps
نویسندگان
چکیده
منابع مشابه
Commutator Maps, Measure Preservation, and T -systems
Let G be a finite simple group. We show that the commutator map α : G × G → G is almost equidistributed as |G| → ∞. This somewhat surprising result has many applications. It shows that a for a subset X ⊆ G we have α−1(X)/|G|2 = |X|/|G| + o(1), namely α is almost measure preserving. From this we deduce that almost all elements g ∈ G can be expressed as commutators g = [x, y] where x, y generate ...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2016
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-016-2332-z