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Subsets close to invariant subsets for group actions.

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Subsets close to invariant subsets for group actions.

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dc.contributor.author Brailovsky, Leonid.
dc.contributor.author Pasechnik, Dmitrii V.
dc.contributor.author Praeger, Cheryl E.
dc.date.accessioned 2011-05-25T04:24:40Z
dc.date.available 2011-05-25T04:24:40Z
dc.date.copyright 1995
dc.date.issued 2011-05-25T04:24:40Z
dc.identifier.citation 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.
dc.identifier.uri http://hdl.handle.net/10220/6800
dc.description.abstract 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.
dc.language.iso en
dc.relation.ispartofseries Proceedings of the American Mathematical Society
dc.rights © 1995 American Mathematical Society. This paper was published in Proceedings of the American Mathematical Society and is made available as an electronic reprint (preprint) with permission of American Mathematical Society. The paper can be found at :[DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1307498-3].One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
dc.subject DRNTU::Science::Mathematics::Applied mathematics.
dc.title Subsets close to invariant subsets for group actions.
dc.type Journal Article
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.doi http://dx.doi.org/10.1090/S0002-9939-1995-1307498-3
dc.description.version Published version

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