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標(biāo)題: Titlebook: Generators and Relations for Discrete Groups; H. S. M. Coxeter,W. O. J. Moser Book 1980Latest edition Springer-Verlag GmbH Germany 1980 Di [打印本頁]

作者: Iridescent    時間: 2025-3-21 18:16
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書目名稱Generators and Relations for Discrete Groups被引頻次




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rated group that the reader might propose. But we soon realized that more or less arbitrary restrictions are necessary, because interesting groups are so numerous. For permutation groups of degree 8 or less (i.e.‘ .subgroups of es), the reader cannot do better than consult the tables of JosEPHINE Bu
作者: irreparable    時間: 2025-3-22 14:28

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Critical Analysis of Science Textbooksetermine an abstract definition for a given finite group, and in § 2.3 we describe some additional computation, performed alongside the enumeration, which determines an abstract definition for the subgroup.
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Elizabeth Mackinlay,Renée Mickelburghrove that the generators may always be represented by real affine reflections, thus preparing the ground for a complete enumeration of the finite groups. Then we shall describe some of their remarkable properties.
作者: Entreaty    時間: 2025-3-23 08:55
Book 1980Latest editionp that the reader might propose. But we soon realized that more or less arbitrary restrictions are necessary, because interesting groups are so numerous. For permutation groups of degree 8 or less (i.e.‘ .subgroups of es), the reader cannot do better than consult the tables of JosEPHINE BuRNS (1915)
作者: 一回合    時間: 2025-3-23 09:41
Cyclic, Dicyclic and Metacyclic Groups,s us to adjoin a new element so as to obtain a larger group; e.g., the cyclic and non-cyclic groups of order 4 yield the quaternion group and the tetrahedral group, respectively. Observing that the standard treatises use the term . group in two distinct senses, we exhibit both kinds among the groups
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Systematic Enumeration of Cosets,verted this into a mechanical technique, a useful tool with a wide range of applications. In § 2.1 we describe this algorithm, in § 2.2 we use it to determine an abstract definition for a given finite group, and in § 2.3 we describe some additional computation, performed alongside the enumeration, w
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Abstract Crystallography,e it invariant. The symmetry operations (including the identity) of any figure clearly form a group: the . of the figure. A completely irregular figure has a symmetry group of order 1. The group of order 2 arises when the figure has bilateral symmetry, or when it is transformed into itself by a half
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Groups Generated by Reflections,of the periods will make such a group finite. Cases where the number of generators is less than four have been considered in 4.31 and 4.32. We shall prove that the generators may always be represented by real affine reflections, thus preparing the ground for a complete enumeration of the finite grou
作者: 山羊    時間: 2025-3-24 18:20
Critical Approaches to Welcome to Night Valee it invariant. The symmetry operations (including the identity) of any figure clearly form a group: the . of the figure. A completely irregular figure has a symmetry group of order 1. The group of order 2 arises when the figure has bilateral symmetry, or when it is transformed into itself by a half-turn (i.e., rotation through two right angles).
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作者: 利用    時間: 2025-3-25 02:23
Abstract Crystallography,e it invariant. The symmetry operations (including the identity) of any figure clearly form a group: the . of the figure. A completely irregular figure has a symmetry group of order 1. The group of order 2 arises when the figure has bilateral symmetry, or when it is transformed into itself by a half-turn (i.e., rotation through two right angles).
作者: 迅速成長    時間: 2025-3-25 06:28
The Symmetric, Alternating, and other Special Groups,g generators and relations for S. can be carried over almost unchanged for a certain infinite group, first studied by . (1926); accordingly, we begin by describing this so-called braid group. The symmetric group (§ 6.2) has a subgroup A., of index 2 (§ 6.3), which is particularly interesting because, when . > 4, it is simple.
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Hyperbolic Tessellations and Fundamental Groups,After describing the regular tessellations {.} (which are simply-connected topological polyhedra), we shall derive the fundamental groups (§ 3.5, p. 24) for closed surfaces of arbitrary characteristic. From the present standpoint, non-orientable surfaces are easier than orientable surfaces; accordingly, we consider them in this unusual order.
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Critical Analysis of Science Textbooksverted this into a mechanical technique, a useful tool with a wide range of applications. In § 2.1 we describe this algorithm, in § 2.2 we use it to determine an abstract definition for a given finite group, and in § 2.3 we describe some additional computation, performed alongside the enumeration, w
作者: 圍裙    時間: 2025-3-26 09:56
Binomial and Normal Distributions represent the elements of the group while certain sets of edges are associated with the generators. . (1878a, b) proposed the use of colours to distinguish the edges associated with different generators (see . 1911, pp. 423–427 and the frontispiece). Instead, for the sake of easier printing, we use
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作者: 完成    時間: 2025-3-27 03:17
Elizabeth Mackinlay,Renée Mickelburghof the periods will make such a group finite. Cases where the number of generators is less than four have been considered in 4.31 and 4.32. We shall prove that the generators may always be represented by real affine reflections, thus preparing the ground for a complete enumeration of the finite grou
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Book 1980Latest editionf dimensions. The best substitute for a more extensive catalogue is the description (in Chapter 2) of a method whereby the reader can easily work out his own abstract definition for almost any given finite group. This method is sufficiently mechanical for the use of an electronic computer.
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作者: 心胸狹窄    時間: 2025-3-28 07:42
Melodrama and Male Crisis in , and emarked by . (1926, p. 238) that “There is no regular map of 8, 10 or 11 hexagons, no map of 14 hexagons although there are maps of 7, 21 and 28 hexagons”. The expression that he sought is our 8.42 (. 1911, p. 418). The first mention of maps on non-orientable surfaces seems to have been by . (1910).
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G. Geyerve loop filter. A more recent development is the use of all-digital loops where the phase detector, loop filter and VCO may be made entirely from digital components; this subject is covered in more detail in chapter 8.
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作者: 提升    時間: 2025-3-29 06:52
Transnationales Humankapital. Einleitende Bemerkungen zu Kontextbedingungen, Erwerb und Verwertbarkchen Begriff zu bringen. Für die Gegenwart erfüllt der Begriff der Globalisierung diese Funktion der Erstkennzeichnung eines epochalen Wandels. Mit Globalisierung bezeichnet man bekanntlich die Zunahme einer ?konomischen, politischen, sozialen und kulturellen Vernetzung zwischen Regionen und vor all




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