scholarly journals Isospectral drums and simple groups

2018 ◽  
Vol 15 (04) ◽  
pp. 1850060
Author(s):  
Koen Thas
Keyword(s):  
Physical Properties ◽  
The Other ◽  
Simple Groups ◽  
Finite Simple Groups ◽  
Planar Domains ◽  
Other Hand ◽  
Isospectral Manifolds ◽  
Transplantation Technique ◽  
Rule Out

Nearly every known pair of isospectral but nonisometric manifolds — with as most famous members isospectral bounded [Formula: see text]-planar domains which makes one “not hear the shape of a drum” [M. Kac, Can one hear the shape of a drum? Amer. Math. Monthly 73(4 part 2) (1966) 1–23] — arise from the (group theoretical) Gassmann–Sunada method. Moreover, all the known [Formula: see text]-planar examples (so counter examples to Kac’s question) are constructed through a famous specialization of this method, called transplantation. We first describe a number of very general classes of length equivalent manifolds, with as particular cases isospectral manifolds, in each of the constructions starting from a given example that arises itself from the Gassmann–Sunada method. The constructions include the examples arising from the transplantation technique (and thus in particular the known planar examples). To that end, we introduce four properties — called FF, MAX, PAIR and INV — inspired by natural physical properties (which rule out trivial constructions), that are satisfied for each of the known planar examples. Vice versa, we show that length equivalent manifolds with FF, MAX, PAIR and INV which arise from the Gassmann–Sunada method, must fall under one of our prior constructions, thus describing a precise classification of these objects. Due to the nature of our constructions and properties, a deep connection with finite simple groups occurs which seems, perhaps, rather surprising in the context of this paper. On the other hand, our properties define in some sense physically irreducible pairs of length equivalent manifolds — “atoms” of general pairs of length equivalent manifolds, in that such a general pair of manifolds is patched up out of irreducible pairs — and that is precisely what simple groups are for general groups.

scholarly journals Conjugacy in groups with dihedral 3-normalisers

1977 ◽  
Vol 18 (2) ◽  
pp. 167-173 ◽  
Author(s):  
N. K. Dickson
Keyword(s):  
Conjugacy Class ◽  
The Other ◽  
Simple Groups ◽  
Character Theory ◽  
Finite Simple Groups ◽  
Strong Connection

Much work has been carried out on the classification of finite simple groups in terms of the structures of centralisers of involutions. However, it is sometimes the case that these classification results cannot be applied to particular problems even although information is available about one conjugacy class of involutions. The trouble is that information about the other classes can be almost non-existent. In this paper we deal with a situation where character theory can be employed to give a strong connection between the orders of centralisers of different classes of involutions, enabling information about one class to be used to give information about other classes. We prove the following result.

STUDY OF ORNAMENTS IN HUNTO SULTAN AMAY MOSQUE GORONTALO

ARTic ◽  
2019 ◽  
Vol 4 ◽  
pp. 167-176
Author(s):  
Risti Puspita Sari Hunowu
Keyword(s):  
Qualitative Method ◽  
The Other ◽  
Visual Form ◽  
Research Material ◽  
Other Hand ◽  
The World ◽  
Existing Form ◽  
The City ◽  
Dutch Colonial

This research is aimed at studying the Hunto Sultan Amay Mosque located in Gorontalo City. Hunto Sultan Amay Mosque is the oldest mosque in the city of Gorontalo The Hunto Sultan Amay Mosque was built as proof of Sultan Amay's love for a daughter and is a representation of Islam in Gorontalo. Researchers will investigate the visual form of the Hunto Sultan Amay Mosque which was originally like an ancient mosque in the archipelago. can be seen from the shape of the roof which initially used an overlapping roof and then converted into a dome as well as mosques in the world, we can be sure the Hunto Sultan Amay Mosque uses a dome roof after the arrival of Dutch Colonial. The researcher used a qualitative method by observing the existing form in detail from the building of the mosque with an aesthetic approach, reviewing objects and selecting the selected ornament giving a classification of the shapes, so that the section became a reference for the author as research material. Based on the analysis of this thesis, the form  of the Hunto Sultan Amay mosque as well as the mosques located in the archipelago and the existence of ornaments in the Hunto Sultan Amay Mosque as a decorative structure support the grandeur of a mosque. On the other hand, Hunto Mosque ornaments reveal a teaching. The form of a teaching is manifested in the form of motives and does not depict living beings in a realist or naturalist manner. the decorative forms of the Hunto Sultan Sultan Mosque in general tend to lead to a form of flora, geometric ornaments, and ornament of calligraphy dominated by the distinctive colors of Islam, namely gold, white, red, yellow and green.

scholarly journals I.—Notes on the Phylogeny of the Graptolites

1895 ◽  
Vol 2 (12) ◽  
pp. 529-539 ◽  
Author(s):  
H. A. Nicholson ◽  
J. E. Marr
Keyword(s):  
Present State ◽  
The Other ◽  
Other Hand ◽  
The Family ◽  
The Future ◽  
Geological Magazine

Since the remarkable paper by Professor Lapworth “On an Improved Classification of the Rhabdophora” was published in the Geological Magazine for 1873, a great deal of fresh information has been gathered as to these interesting fossils; but the classification given in that paper, though to some extent confessedly artificial, is still generally adhered to. Observations made by the authors in recent years lead them to suppose that that classification will in the future undergo considerable modification; but in the present state of our knowledge it serves a purpose so useful, that it is not our intention to propose any immediate change in it. Our object, on the other hand, is to bring forward certain conclusions which we have independently reached, and which will, we believe, enhance the value of Graptolites to the stratigraphical geologist, and lead to results important to the biologist. Our conclusions are based upon an examination of a large number of forms generally referred to the family Dichograptidæ; but, as we propose very briefly to indicate, they affect the relationships of Graptolites belonging to other families also.

scholarly journals Finite simple exceptional groups of Lie type in which all subgroups of odd index are pronormal

2020 ◽  
Vol 23 (6) ◽  
pp. 999-1016
Author(s):  
Anatoly S. Kondrat’ev ◽  
Natalia V. Maslova ◽  
Danila O. Revin
Keyword(s):  
Simple Groups ◽  
Finite Simple Groups ◽  
Exceptional Groups ◽  
Odd Index ◽  
Groups Of Lie Type

AbstractA subgroup H of a group G is said to be pronormal in G if H and {H^{g}} are conjugate in {\langle H,H^{g}\rangle} for every {g\in G}. In this paper, we determine the finite simple groups of type {E_{6}(q)} and {{}^{2}E_{6}(q)} in which all the subgroups of odd index are pronormal. Thus, we complete a classification of finite simple exceptional groups of Lie type in which all the subgroups of odd index are pronormal.

scholarly journals Setninger I Norsk Og Polsk – Definisjoner Og Inndelinger

2018 ◽  
Vol 25 (1) ◽  
pp. 22-40
Author(s):  
Marta Olga Janik ◽  
Oliwia Szymańska ◽  
Barbara Łukaszewicz
Keyword(s):  
Structural Features ◽  
The Other ◽  
Significant Bias ◽  
Other Hand

Abstract In this article we give a brief summary of how Norwegian and Polish sentences are classified in the widely acknowledged grammar books. Therefore, we review the definitions of sentences in both languages, and compare the various classifications applied in Norwegian and Polish. Additionally, much focus is given to classification of sub clauses, which happen to be differently characterized in the respective languages. We would claim that there is a significant bias regarding features that determine classification of sub clauses in Norwegian and Polish. While in Norwegian a lot of emphasis is put on structural features, focusing on how particular units are organized within a sentence, the Polish classifications seem more semantic-oriented. As far as grammatical terms are concerned, Norwegian is featured by far more notions that might yield intransparency for a Polish learner or grammarian. On the other hand, the Norwegian classifications seem far more transparent. Due to a lack of 1-1 relation between terms used in Norwegian and Polish, we cater for this need by providing terms applicable for both languages. We believe that this may come into useful for all who try to systematize their knowledge about sentences in both languages.

scholarly journals Holistic and conceptual character of the mental in Donald Davidson’s work

2020 ◽  
Vol 63 (1) ◽  
pp. 123-142
Author(s):  
Milos Bogdanovic
Keyword(s):  
The Other ◽  
Ontological Category ◽  
Conceptual Category ◽  
Central Thesis ◽  
Other Hand ◽  
The One ◽  
Rule Out

In this paper we will try to confront Quine?s and Davidson?s holistic position through Davidson?s thesis of mental as a non-ontological category. In this regard, since Davidson came to this position through the thesis of mental as a decidedly conceptual category, we will try to show how this approach does not, nevertheless, rule out the possibility of its interpretation in ontological terms. However, in what follows we will draw attention to the fact that mental can be interpreted so that it proves to be immune to ontologization in Quine?s sense. This would be the evidence of different ways, which are not necessarily compatible, to argue for Davidson?s central thesis - the thesis about holistic character of mental - as well as, which is closely related, a certain difference that exists between Davidson?s view of mental as a conceptual category on the one hand, and a holistic category on the other hand.

scholarly journals Towards a Language-Based Typology of Church Names in Ghana

2021 ◽  
pp. 77-87
Author(s):  
Osei Yaw Akoto ◽  
Juliet Oppong-Asare Ansah
Keyword(s):  
Content Analysis ◽  
Analytical Approach ◽  
The Other ◽  
English Only ◽  
Other Hand

Over the years, scholars have sought to provide language-based typologies of names, but while attempts have been made for some sub-branches of onomastics such as anthroponymy and toponymy, there is arguably none for ecclesionymy (the study of church names). Consequently, this paper sought to provide a language based typology of the hitherto underexplored area of church names. Data of names of churches in Ghana was built for the present study. Adopting content analysis as the analytical approach, the study realized that church names in Ghana are generally homogenous and heterogeneous linguistically. It was also realized that homogenous/unilingual church names involved English only, Akan only and Ewe only. On the other hand, the heterogeneous church names comprised two types: bilingual and trilingual church names, which contained varied language permutations from the three spheres in Osei Yaw Akoto’s classification of languages in Ghana. The paper concludes by making some recommendations for language-in-religion policy in Ghana. Keywords: Church names, Ecclesionymy, Glocal language, Unilingual

The Sucrose-Natural Gypsum Makes the Compound Retarder to the Cement and the Concretes Performance Influence Experimental Study

2011 ◽  
Vol 335-336 ◽  
pp. 1219-1222
Author(s):  
Ru Qin Wang
Keyword(s):  
Experimental Study ◽  
Physical Properties ◽  
Experimental Research ◽  
Mixing Time ◽  
The Other ◽  
Positive Correlation ◽  
Other Hand ◽  
Cement And Concrete

By the experimental research to the effect sucrose-natural gypsum as composite retarder on the performance of cement and concrete. This paper analyzes and summarizes the fact that the influence of this kind of composite retarder is more obvious than the slow setting effect of a single sugar or plaster. And the retardation of cement and concrete the mixing time is basically the amount of sugar a positive correlation. And on the other hand, it will not influence other physical properties.

PROBLEMS OF CLASSIFICATION IN TOPONYMIC STUDIES AND THE ROLE OF ETHNOTOPONYMS IN THEM

2021 ◽  
Vol 4 (6) ◽  
pp. 16-23
Author(s):  
Bekhzodjon I. Zokirov ◽  
Keyword(s):  
Ethnic Group ◽  
The Other ◽  
Place Names ◽  
Other Hand ◽  
Separate Form

This article examines the problems of classification of toponymy of the Uzbek people in the research conducted in the 60s of the XX century to the beginning of the XXI century and the role of ethnotoponyms as a separate classification unit. We know that toponyms also include place names formed based on the names of people, nation, tribe, ethnic group, tribe. The field of scientific and practical study of these names is called ethnotoponymy. Ethnotoponyms, on the other hand, are the name of an ethnos, that is, they are the result of the interaction of an ethnonym and a system of toponyms. In this regard, the study of ethnotoponyms as a separate form of classification unit is extremely relevant

Cognitive Dissonance and the Classification of Consumer Goods

1967 ◽  
Vol 31 (4) ◽  
pp. 28-31 ◽  
Author(s):  
Stanley Kaish
Keyword(s):  
Consumer Behavior ◽  
Cognitive Dissonance ◽  
Consumer Goods ◽  
The Other ◽  
Behavioral Sciences ◽  
Marketing Literature ◽  
Other Hand ◽  
Behavioral Criteria

The theory of cognitive dissonance is one of the recently developed tools that marketing has borrowed from the behavioral sciences to investigate consumer behavior. The classification of goods into convenience, shopping, and specialty categories, on the other hand, is among the most venerable ideas in marketing literature. This article merges the two by using the theory of cognitive dissonance to give a new dimension to the classification of consumer goods. The result is a fresh set of behavioral criteria for classifying goods.

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