On the height of subgroups of Homeo<sub>+</sub>(<i>I</i>)

Akhmedov, Azer

doi:10.1515/jgth-2014-0037

Cited by 2 publications

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References 12 publications

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“…By Lemma 6.2 in [5], N is not discrete. Hence, for all ǫ > 0, there exists ω ∈ N such that ||ω|| < ǫ.…”

Section: Introductionmentioning

confidence: 99%

On groups of diffeomorphisms of the interval with finitely many fixed points II

Akhmedov

2015

Preprint

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In [6], it is proved that any subgroup of Diff ω + (I) (the group of orientation preserving analytic diffeomorphisms of the interval) is either metaabelian or does not satisfy a law. A stronger question is asked whether or not the Girth Alternative holds for subgroups of Diff ω + (I). In this paper, we answer this question affirmatively for even a larger class of groups of orientation preserving diffeomorphisms of the interval where every non-identity element has finitely many fixed points. We show that every such group is either affine (in particular, metaabelian) or has infinite girth. The proof is based on sharpening the tools from the earlier work [1].

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“…By Lemma 6.2 in [5], N is not discrete. Hence, for all ǫ > 0, there exists ω ∈ N such that ||ω|| < ǫ.…”

Section: Introductionmentioning

confidence: 99%

On groups of diffeomorphisms of the interval with finitely many fixed points II

Akhmedov

2015

Preprint

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“…В подобных случаях часто рекомендуют выполнить оперативное вмешательство после увеличения размеров кисты [3,4,5], либо проводят чрескожное пункционное лечение и (или) медикаментозную терапию. Однако и эти методы лечения не безупречны [2].…”

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Comparative asessment of the life quality in patients with hepatic echinococcosis with small size cysts in the cases of active and watchful management

Abdullayev¹,

Koychuev²,

Akhmedov³

2015

Medical news of the North Caucasus

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Дагестанская государственная медицинская академия, Махачкала, Россия coMparaTiVe asessMenT of The life QUaliTY in paTienTs WiTh hepaTic echinococcosis WiTh sMall siZe cYsTs in The cases of acTiVe anD WaTchfUl ManageMenT aBDUllaYeV a. M., KoYchUYeV r. a., aKhMeDoV i. g. Dagestan state Medical academy, Makhachkala, russia Изучены различные стороны психологического здоровья у пациентов с эхинококковыми кистами печени как при выжидательной, так и активной тактике лечения. Ключевые слова: эхинококкоз печени, выжидательная тактика, альбендазол, пункционное лечение, качество жизни Various aspects of mental health were studied in patients with liver echinococcus cysts in the cases of active and watchful treatment strategy.

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On the height of subgroups of Homeo₊(I)

Abstract: In [6], it is proved that a subgroup of PL C .I / has finite height if and only if it is solvable. We prove the "only if" part for any subgroup of Homeo C .I /, and present a construction which indicates a plethora of examples of solvable groups with infinite height.

Cited by 2 publications

References 12 publications

On groups of diffeomorphisms of the interval with finitely many fixed points II

On groups of diffeomorphisms of the interval with finitely many fixed points II

Comparative asessment of the life quality in patients with hepatic echinococcosis with small size cysts in the cases of active and watchful management

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On the height of subgroups of Homeo+(I)

Abstract: In [6], it is proved that a subgroup of PL C .I / has finite height if and only if it is solvable. We prove the "only if" part for any subgroup of Homeo C .I /, and present a construction which indicates a plethora of examples of solvable groups with infinite height.

Cited by 2 publications

References 12 publications

On groups of diffeomorphisms of the interval with finitely many fixed points II

On groups of diffeomorphisms of the interval with finitely many fixed points II

Comparative asessment of the life quality in patients with hepatic echinococcosis with small size cysts in the cases of active and watchful management

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On the height of subgroups of Homeo₊(I)