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標(biāo)題: Titlebook: Orthogonal Latin Squares Based on Groups; Anthony B. Evans Book 2018 Springer International Publishing AG, part of Springer Nature 2018 Or [打印本頁]

作者: McKinley    時間: 2025-3-21 19:40
書目名稱Orthogonal Latin Squares Based on Groups影響因子(影響力)




書目名稱Orthogonal Latin Squares Based on Groups影響因子(影響力)學(xué)科排名




書目名稱Orthogonal Latin Squares Based on Groups網(wǎng)絡(luò)公開度




書目名稱Orthogonal Latin Squares Based on Groups網(wǎng)絡(luò)公開度學(xué)科排名




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書目名稱Orthogonal Latin Squares Based on Groups讀者反饋




書目名稱Orthogonal Latin Squares Based on Groups讀者反饋學(xué)科排名





作者: 徹底明白    時間: 2025-3-21 21:21

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作者: Directed    時間: 2025-3-22 23:55
Minimal Counterexamples to the Hall-Paige Conjecturethat any minimal counterexample must be “close” to being a simple group. In 1992 Evans tried to improve on this by extending complete mappings of ., a subgroup of . of index 2, to complete mappings of .; and complete mappings of .∕., ., to complete mappings of .. Evans’ proofs require that certain t
作者: 替代品    時間: 2025-3-23 03:31
A Proof of the Hall-Paige Conjecture finite simple group of Lie type, with the possible exception of.(2)., the Tits group, could be a minimal counterexample to this conjecture. As the alternating groups were proved to be admissible in 1955 by Hall and Paige, and the Mathieu groups were proved admissible in 1993 by Dalla Volta and Gavi
作者: 薄荷醇    時間: 2025-3-23 07:51
Orthomorphism Graphs of Groupsphism graphs: graphs whose vertices are orthomorphisms, and in which adjacency implies orthogonality. In this chapter we introduce orthomorphism graphs of groups. We describe the main problems of interest in the study of orthomorphism graphs, and we describe automorphisms and congruences of orthomor
作者: 向下五度才偏    時間: 2025-3-23 10:13
Elementary Abelian Groups. Istudy of orthomorphism graphs of these groups. In particular, any function from a finite field to itself, and thus any orthomorphism of the additive group of the field, can be realized as a polynomial function. Several interesting classes of orthomorphisms will be described as sets of orthomorphism
作者: BLOT    時間: 2025-3-23 16:00
Elementary Abelian Groups. II orthomorphisms, orthomorphisms of the form .?.; and quadratic orthomorphisms, orthomorphisms of the form . maps to . if . is a square and . if . is a nonsquare. In this chapter we generalize linear and quadratic orthomorphisms by partitioning the elements of a finite field into cyclotomy classes {.
作者: Pelvic-Floor    時間: 2025-3-23 20:44
Extensions of Orthomorphism Graphs abelian groups that have received significant attention are the cyclic groups and direct products of elementary abelian groups. In this chapter we will define the extension of the orthomorphism graph of a group . by a group .: this is an orthomorphism graph of .?×?.. We will discuss two special cas
作者: neolith    時間: 2025-3-24 02:00
(,) for Some Classes of Nonabelian Groups only classes of nonabelian groups for which attempts have been made to improve the lower bound for .(.) are the dihedral groups and some of the linear groups of even characteristic. We will present these improvements in this chapter. We will derive improved lower bounds for .(.), . the dihedral gro
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作者: 背書    時間: 2025-3-24 10:49
Related Topics and orthomorphisms of groups. In our discussion of these topics, we will outline the work that has been done, presenting many of the results without proofs. Our emphasis will be on the role played by orthomorphisms and related mappings. We will introduce classes of complete mappings and orthomorphi
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Orthogonal Latin Squares Based on Groups978-3-319-94430-2Series ISSN 1389-2177 Series E-ISSN 2197-795X
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作者: 休閑    時間: 2025-3-25 14:52
Latin Squares Based on Groupsality from a purely algebraic point of view, using difference matrices, complete mappings, and orthomorphisms. The nets, affine planes, projective planes, and transversal designs constructed in this way are characterized by the action of the group on these designs. We introduce these concepts in this chapter.
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作者: 作嘔    時間: 2025-3-26 02:07
The Groups ,(,, ,), ,(,, ,), ,(,, ,), and ,(,, ,)onal case, each of these groups is isomorphic to the nonabelian group of order 6, a group with a nontrivial, cyclic Sylow 2-subgroup, which therefore is not admissible by a result of Hall and Paige. In this chapter we will also prove the admissibility of GL(., .), SL(2, .), PSL(2, .), and PGL(., .) when . is odd.
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作者: 多骨    時間: 2025-3-27 03:57
Book 2018hisms and complete mappings of finite groups, while also offering a complete proof of the Hall–Paige conjecture. The use of latin squares in constructions of nets, affine planes, projective planes, and transversal designs also motivates this inquiry.??.The text begins by introducing fundamental conc
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作者: amorphous    時間: 2025-3-27 12:54
Extensions of Orthomorphism Graphs of Orth(GF(.).) by GF(3).. We will consider the special case of extensions of the orthomorphism graph of GF(.). consisting of linear orthomorphisms of GF(.).. We will extend these methods to the study of extensions of cyclic groups by GF(3)..
作者: 鄙視    時間: 2025-3-27 17:15
(,) for Some Classes of Nonabelian Groups=?GL(2, .) or SL(2, .), . even, .≠2. To establish this bound, we will use partitions of the element sets of the groups. For higher dimensions we will establish lower bounds for .(GL(., .)), . even, .≠2, using even-odd decompositions and partitions of the sets of odd-order elements of the groups.
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作者: 密切關(guān)系    時間: 2025-3-28 02:32
Elementary Abelian Groups. Itudied using multiplication. The simplest such class is the class of linear orthomorphisms: these are of the form .?.. It is clear that such a mapping is an orthomorphism if and only if .≠0, 1. In this chapter we will also study quadratic orthomorphisms: these map . to . if . is a square and to . if . is a nonsquare.
作者: tenuous    時間: 2025-3-28 09:26
Projective Planes from Complete Sets of Orthomorphismsrojective planes. In particular we will prove the nonexistence of certain generalized Hadamard matrices, from which the nonexistence of complete sets of orthomorphisms of certain groups can be derived. We will also study Cartesian projective planes of prime order.
作者: 玉米棒子    時間: 2025-3-28 10:57
Management for Water Quality on Rangelands Through Best Management Practices: The Idaho Approach Act, have impelled states to address nonpoint control, chiefly through best management practices (BMPs) to reach water quality goals. Rangeland BMPs are based on study and experience gained from observing the effects of grazing management and range improvements on the hydrological processes of wate
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Marco DelGiudice?ndern, Kommunen oder sonstigen Hoheitstr?gern ausgeübt werden. Verfassungsrechtliche Grundlagen der Verwaltungsorganisation bilden Art. 30 GG und 83 ff. sowie Art. 28 Abs. 2 GG (Garantie der kommunalen Selbstverwaltung).
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作者: osteoclasts    時間: 2025-3-29 01:51
Environmental Issues,nected to the exploitation of natural resources from the land result in its immediate loss as well as pollution, such as mineral extraction activities, industry, borrow pits for industrial requirements, and the exploitation of gravel and sand at the edge of rivers.
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The Commonwealth Of The Bahamas,o identify groups of messages with unusual coordination patterns across multiple social media platforms. We apply our approach to content posted on four platforms related to the Syrian Civil Defence organization known as the White Helmets: Twitter, Facebook, Reddit, and YouTube. Results show that ou
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Book 20164th editionn, Templates und Beispiele weisen den Weg zur erfolgreichen Inbetriebnahme und Kosteneinsparung..Die Kosten der Inbetriebnahme von Neuanlagen sind mit 8 bis 15 % der Investitionssumme erheblich; gravierende Einsparpotentiale werden h?ufig nicht genutzt..Die Inbetriebnahme ist für alle Beteiligten di
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