Subsets close to invariant subsets for group actions

• المؤلفون الرئيسيون: Brailovsky, Leonid., Pasechnik, Dmitrii V., Praeger, Cheryl E.
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2011
• الموضوعات: DRNTU::Science::Mathematics::Applied mathematics
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/93782; http://hdl.handle.net/10220/6800

Let G be a group acting on a set Ω and k a non-negative integer. A subset (finite or infinite) A ⊆ Ω is called k-quasi-invariant if |Ag \ A| ≤k for every g ∈ G. It is shown that if A is k-quasi-invariant for k ≥1 , then there exists an invariant subset Γ⊆Ω such that |A Δ Γ | < 2ek [(In 2k)]. Info...