scholarly journals Compact subgroups in the centralizer of natural factors of an ergodic group extension of a rotation determine all factors

1990 ◽  
Vol 10 (4) ◽  
pp. 763-776 ◽  
Author(s):  
Mariusz Lemańczyk ◽  
Mieczyslaw K. Mentzen
Keyword(s):  
Compact Subgroup ◽  
Group Extension ◽  
Natural Factor ◽  
Group Extensions ◽  
Natural Factors ◽  
Discrete Spectra

AbstractFor ergodic group extensions of transformations with discrete spectra it is proved that each invariant sub-σ-algebra is determined by a compact subgroup in the centralizer of a natural factor.

scholarly journals A note on central group extensions

1973 ◽  
Vol 15 (4) ◽  
pp. 428-429 ◽  
Author(s):  
G. J. Hauptfleisch
Keyword(s):  
Abelian Group ◽  
Homomorphic Image ◽  
Free Group ◽  
Central Extension ◽  
Dihedral Group ◽  
Group Extension ◽  
Central Group ◽  
Group Extensions

If A, B, H, K are abelian group and φ: A → H and ψ: B → K are epimorphisms, then a given central group extension G of H by K is not necessarily a homomorphic image of a group extension of A by B. Take for instance A = Z(2), B = Z ⊕ Z, H = Z(2), K = V4 (Klein's fourgroup). Then the dihedral group D8 is a central extension of H by K but it is not a homomorphic image of Z ⊕ Z ⊕ Z(2), the only group extension of A by the free group B.

On Graded Categorical Groups and Equivariant Group Extensions

2002 ◽  
Vol 54 (5) ◽  
pp. 970-997 ◽  
Author(s):  
A. M. Cegarra ◽  
J. M. Garćia-Calcines ◽  
J. A. Ortega
Keyword(s):  
Group Cohomology ◽  
Group Extension ◽  
Extension Problem ◽  
Homotopy Classification ◽  
Group Extensions ◽  
Categorical Groups

AbstractIn this article we state and prove precise theorems on the homotopy classification of graded categorical groups and their homomorphisms. The results use equivariant group cohomology, and they are applied to show a treatment of the general equivariant group extension problem.

scholarly journals Al-Magrizi Inflation Theory Of Islamic Monetary Policy Implementation In Indonesia

2021 ◽  
Vol 2 (2) ◽  
pp. 150
Author(s):  
Ridan Muhtadi ◽  
Safarinda Imani
Keyword(s):  
Monetary Policy ◽  
Policy Implementation ◽  
Human Error ◽  
Human Factor ◽  
Economic Thought ◽  
Natural Factor ◽  
Natural Factors ◽  
Two Factors ◽  
The Subject ◽  
Islamic Economic

During the time of Imam al-Magrizi (766-845 H), inflation had occurred in Egypt. Al-Magrizi shows about the theory of inflation. Inflation becomes a discourse that studied heavily in the subject of the economy. Al-Magrizi is an Islamic economic thought who did a particular study of money and inflation. The paper focused on al-Magrizi inflation theory caused by two factors, namely natural factors and human error factors. To solve these factors, a nation could apply Islamic monetary policy to Umar Chapra's thought, namely a credit-oriented (financing) location as a solution of natural factor theory. Also, moral suasion or moral appeals as a solution to the human factor inflation theory.

scholarly journals A note on group extensions

1974 ◽  
Vol 18 (4) ◽  
pp. 509-510 ◽  
Author(s):  
L. R. Vermani
Keyword(s):  
Homomorphic Image ◽  
Present Note ◽  
Abelian Groups ◽  
Group Extension ◽  
Central Group ◽  
Group Extensions ◽  
Central Loop

In [2] Hauptfleisch proved that if A, B, H, K are Abelian groups, φ:A → H and ψ:B → K are epimorphisms, then every central group extension G of H by K is homomorphic image of a central loop extension L of A by B. The aim of the present note is to prove (using almost the same argument as in [2])

Decomposing isometric extensions using group extensions

1993 ◽  
Vol 13 (4) ◽  
pp. 661-673
Author(s):  
A. H. Forrest
Keyword(s):  
Dynamical Systems ◽  
Group Extension ◽  
Natural Projection ◽  
Orbit Closure ◽  
Isometric Extension ◽  
Group Extensions ◽  
Almost Automorphic ◽  
Distal Point ◽  
Group Of Isometries ◽  
Topological Dynamical Systems

AbstractThis paper studies the structure of isometric extensions of compact metric topological dynamical systems with ℤ action and gives two decompositions of the general case to a more structured case. Suppose that Y → X is a M-isometric extension. An extension, Z, of Y is constructed which is also a G-isometric extension of X, where G is the group of isometries of M. The first construction shows that, provided that (X, T) is transitive, there are almost-automorphic extensions Y′ → Y and X′ → X, so that Y′ is homeomorphic to X′ × M and the natural projection Y′ → X′ is a group extension. The second shows that, provided that (X, T) is minimal, there is a G-action on Z which commutes with T and which preserves fibres and acts on each of them minimally. Each individual orbit closure, Za, in Z is a G′-isometric extension of X, where G′ is a subgroup of G, and there is a G′-action on Za which commutes with T, preserves fibres and acts minimally on each of them. Two illustrations are presented. Of the first: to reprove a result of Furstenberg; that every distal point is IP*-recurrent. Of the second: to describe the minimal subsets in isometric extensions of minimal topological dynamical systems.

scholarly journals On ergodic actions whose self-joinings are graphs

1987 ◽  
Vol 7 (4) ◽  
pp. 531-557 ◽  
Author(s):  
A. del Junco ◽  
D. Rudolph
Keyword(s):  
Probability Space ◽  
Compact Subgroup ◽  
Common Factors ◽  
Ergodic Measure ◽  
Group Extension ◽  
Locally Compact Group ◽  
Ergodic Action ◽  
Minimal Self ◽  
Weakly Mixing ◽  
Simple Action

AbstractWe call an ergodic measure-preserving action of a locally compact group G on a probability space simple if every ergodic joining of it to itself is either product measure or is supported on a graph, and a similar condition holds for multiple self-joinings. This generalizes Rudolph's notion of minimal self-joinings and Veech's property S.Main results The joinings of a simple action with an arbitrary ergodic action can be explicitly descnbed. A weakly mixing group extension of an action with minimal self-joinings is simple. The action of a closed, normal, co-compact subgroup in a weakly-mixing simple action is again simple. Some corollaries. Two simple actions with no common factors are disjoint. The time-one map of a weakly mixing flow with minimal self-joinings is prime Distinct positive times in a -action with minimal self-joinings are disjoint.

The Research on Theme Park Planning of Mountainous City Based on Natural Factor

2011 ◽  
Vol 243-249 ◽  
pp. 6692-6695
Author(s):  
Yu Hui Xu ◽  
De Cheng Luo ◽  
Yan Ke Lv
Keyword(s):  
Design Methods ◽  
Theme Park ◽  
Spatial Form ◽  
Plane Figure ◽  
Natural Factor ◽  
Park Planning ◽  
Natural Factors ◽  
Landscape System ◽  
Planning Concept ◽  
Methods Of Application

Natural factor is that various factors as the ridges, valleys, plateaus, ravines formed by the nature force and can be abstracted as plane figure in topography. It is an important factor to control the spatial form of the mountain theme park when located in the mountainous city. By extracting, integrating and carding the natural factors and contacting with the Micro design methods of application of natural factors under the goal-oriented of Planning Concept, this paper Propose to overall plan from overall layout and form structure, furthermore, a methodology is put forward from landscape system and mountain features.

scholarly journals Spatial Temporal Analysis of Coral Reefs in Belitung Tourism Destination Islands

2018 ◽  
Vol 73 ◽  
pp. 03024
Author(s):  
Pavita Raudina Sari ◽  
Ratna Saraswati ◽  
Adi Wibowo
Keyword(s):  
Coral Reefs ◽  
Image Data ◽  
Temporal Analysis ◽  
Landsat 8 ◽  
Tourism Destination ◽  
Natural Factor ◽  
Tourist Attractions ◽  
Natural Factors ◽  
Landsat 7 ◽  
Landsat Satellite

One of the world’s most spectacular ecosystems in this world is the coral reef. In Indonesia, Bangka Belitung is one province which has beautiful coral reefs and has become one of the tourist attractions. However, there might be a loss of the coral reefs area that can be caused by natural factors and human activities. This study aims to analyze the distribution and the changing of coral reefs that occurred in the islands of tourist destination in Belitung Regency from 2005 to 2018 and to analyze its factors. Landsat satellite imageries used in this study are Landsat 5 TM, Landsat 7 ETM+, and Landsat 8 OLI/TIRS. The distribution of coral reefs will be determined by image data processing. Then, overlay methods are used to analyze the changes and its factors. Based on the analysis, in the year of 2005-2018, there are 3.93 km2 areas of coral reefs that have decreased. On the top of that, there are 1.34 km2 or about 34.04% of coral reefs areas have decreased that caused by non-natural factors. It can be concluded that the decreased of the coral reefs occurred in Belitung tourism destination islands, are still dominated by natural factors rather than a non-natural factor.

The results of the use of natural factors of the Siberian region for the rehabilitation of workers of dust-hazardous professions

2020 ◽  
pp. 635-635
Author(s):  
I. E. Ivashchenko
Keyword(s):  
Chronic Obstructive Pulmonary Disease ◽  
Sodium Chloride ◽  
Mineral Water ◽  
Chronic Obstructive ◽  
Siberian Region ◽  
Natural Factor ◽  
Obstructive Pulmonary Disease ◽  
Natural Factors ◽  
Local Protection ◽  
Blood Neutrophils

The inclusion of local natural factor - sodium chloride bromine-containing mineral water in the schemes of recovery in dust pathology of the lungs, has a sanogenetic effect on the factors of local protection of the respiratory tract, leads to the normalization of the biocidal potential of blood neutrophils in patients with occupational chronic obstructive pulmonary disease and pneumoconiosis.

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