| ชื่อเรื่อง | : | Subsets close to invariant subsets for group actions. |
| นักวิจัย | : | Brailovsky, Leonid. , Pasechnik, Dmitrii V. , Praeger, Cheryl E. |
| คำค้น | : | DRNTU::Science::Mathematics::Applied mathematics. |
| หน่วยงาน | : | Nanyang Technological University, Singapore |
| ผู้ร่วมงาน | : | - |
| ปีพิมพ์ | : | 2538 |
| อ้างอิง | : | Brailovsky, L., Pasechnik, D. V., & Praeger, C. E. (1995). Subsets close to invariant subsets for group actions. Proceedings of the American Mathematical Society, 123(8), 2283-2295. , http://hdl.handle.net/10220/6800 , http://dx.doi.org/10.1090/S0002-9939-1995-1307498-3 |
| ที่มา | : | - |
| ความเชี่ยวชาญ | : | - |
| ความสัมพันธ์ | : | Proceedings of the American Mathematical Society |
| ขอบเขตของเนื้อหา | : | - |
| บทคัดย่อ/คำอธิบาย | : | 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)]. Information about G-orbit intersections with A is obtained. In particular, the number m of G-orbits which have non-empty intersection with A , but are not contained in A , is at most 2k — 1 . Certain other bounds on |A Δ Γ |, in terms of both m and k , are also obtained. |
| บรรณานุกรม | : |
Brailovsky, Leonid. , Pasechnik, Dmitrii V. , Praeger, Cheryl E. . (2538). Subsets close to invariant subsets for group actions..
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Brailovsky, Leonid. , Pasechnik, Dmitrii V. , Praeger, Cheryl E. . 2538. "Subsets close to invariant subsets for group actions.".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Brailovsky, Leonid. , Pasechnik, Dmitrii V. , Praeger, Cheryl E. . "Subsets close to invariant subsets for group actions.."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2538. Print. Brailovsky, Leonid. , Pasechnik, Dmitrii V. , Praeger, Cheryl E. . Subsets close to invariant subsets for group actions.. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2538.
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