標題: Titlebook: Cohomology Rings of Finite Groups; With an Appendix: Ca Jon F. Carlson,Lisa Townsley,Mucheng Zhang Book 2003 Springer Science+Business Medi [打印本頁] 作者: Opiate 時間: 2025-3-21 18:59
書目名稱Cohomology Rings of Finite Groups影響因子(影響力)
書目名稱Cohomology Rings of Finite Groups影響因子(影響力)學科排名
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書目名稱Cohomology Rings of Finite Groups網絡公開度學科排名
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書目名稱Cohomology Rings of Finite Groups被引頻次學科排名
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書目名稱Cohomology Rings of Finite Groups年度引用學科排名
書目名稱Cohomology Rings of Finite Groups讀者反饋
書目名稱Cohomology Rings of Finite Groups讀者反饋學科排名
作者: 文藝 時間: 2025-3-21 21:14 作者: 反話 時間: 2025-3-22 00:41
Spectral Sequences,count of spectral sequences. Perhaps with some imagination the reader can guess how the pages of a spectral sequence of a filtered complex might unfold. We consider only first quadrant cohomology spectral sequences. Homology spectral sequences are similar in reasonably obvious ways. The spectral seq作者: 不怕任性 時間: 2025-3-22 05:52 作者: 發(fā)炎 時間: 2025-3-22 10:23 作者: 保全 時間: 2025-3-22 14:02
Cohomology Rings of Modules, ring H* (., .) via the isomorphism ., and the fact that Hom.(., .) is a finitely generated .-module. For this reason there exists a cohomological support variety ..(.) of the module . which is a subvariety of ..(.) and which reflects many of the homological properties of the module.作者: 保全 時間: 2025-3-22 18:24
Complexity and Multiple Complexes,he late 1970’s and it helped to motivate much of the development of the homological properties of modules. In fact, the complexity of a finitely generated .module . is a rather crude invariant, in that it only measures the polynomial rate of growth of a minimal projective resolution of the module. T作者: 圓柱 時間: 2025-3-22 23:00
Duality Complexes,es of a system of homogeneous parameters for the cohomology ring H* (.). Spectral sequences arise from truncated versions of the periodic complexes. In this chapter, we use the constructions to show that for any .-module ., the cohomology H.(.) can not equal zero for too many consecutive values of .作者: 競選運動 時間: 2025-3-23 04:47
Transfers, Depth and Detection,ntinue to explore the properties of cohomology rings and the ensuing relationship to group structure. A principal focus is the detection of cohomology by subgroups of the given group. We would like to know if there is a collection of subgroups of a group such that kernels of the restriction maps to 作者: 結構 時間: 2025-3-23 07:55
Subgroup Complexes,group . of .. If . is not a .-group, extracting the cohomology of . as a subring of the cohomology ring of . is often a matter of finding the invariant elements. This reduces to an application of some sort of invariant theory. There must be some way of determining the action of the group on its .-su作者: Graduated 時間: 2025-3-23 09:55 作者: 符合你規(guī)定 時間: 2025-3-23 17:15 作者: humectant 時間: 2025-3-23 19:06
Book 2003veral new features were added over the course of that time. We had originally planned to include only a brief introduction to the calculations. However, we were persuaded to produce a more substantial text that would include in greater detail the concepts that are the subject of the calculations and作者: Cholecystokinin 時間: 2025-3-23 22:49
Duality Complexes, cohomology ring. Finally, we characterize the Poincaré duality in terms of a cap product with a cohomology class in negative degree and investigate the relationship to maximal elementary abelian subgroups.作者: Neutropenia 時間: 2025-3-24 06:18 作者: 以煙熏消毒 時間: 2025-3-24 06:59
Document Sentiment Classification,not pretend that the material is exhaustive or evenhanded; rather we emphasize the aspects of the subject that have direct application in later chapters. We assume basic knowledge of groups, rings, modules and homomorphisms as found in a standard first year graduate algebra course.作者: 2否定 時間: 2025-3-24 14:26
Document Sentiment Classification,e ordinary topological cup product on the cohomology of the classifying spaces. When we think of the cohomology as Ext., then it is convenient to think of the products as compositions of sequences (splices). In addition, there are several other methods of defining the products. Happily, these method作者: Obstacle 時間: 2025-3-24 17:28
Analysis of Comparative Opinions,count of spectral sequences. Perhaps with some imagination the reader can guess how the pages of a spectral sequence of a filtered complex might unfold. We consider only first quadrant cohomology spectral sequences. Homology spectral sequences are similar in reasonably obvious ways. The spectral seq作者: Arresting 時間: 2025-3-24 21:54 作者: mercenary 時間: 2025-3-25 02:32 作者: 圖表證明 時間: 2025-3-25 05:26
Analysis of Comparative Opinions, ring H* (., .) via the isomorphism ., and the fact that Hom.(., .) is a finitely generated .-module. For this reason there exists a cohomological support variety ..(.) of the module . which is a subvariety of ..(.) and which reflects many of the homological properties of the module.作者: Crepitus 時間: 2025-3-25 07:32 作者: 允許 時間: 2025-3-25 13:27
Analysis of Comparative Opinions,es of a system of homogeneous parameters for the cohomology ring H* (.). Spectral sequences arise from truncated versions of the periodic complexes. In this chapter, we use the constructions to show that for any .-module ., the cohomology H.(.) can not equal zero for too many consecutive values of .作者: Nebulous 時間: 2025-3-25 15:56
Aspect-based Sentiment Analysis,ntinue to explore the properties of cohomology rings and the ensuing relationship to group structure. A principal focus is the detection of cohomology by subgroups of the given group. We would like to know if there is a collection of subgroups of a group such that kernels of the restriction maps to 作者: Invertebrate 時間: 2025-3-25 22:03 作者: 蠟燭 時間: 2025-3-26 03:20
SpringerBriefs in Computer Sciencempute the cohomology rings. In the appendix we present the results of computer calculations of the mod-2 cohomology rings of all of the groups whose orders divide 64. Each computation is a theorem. The proof of that theorem requires several stages. First, it should be checked that the algorithms tha作者: analogous 時間: 2025-3-26 06:17
https://doi.org/10.1007/978-94-017-0215-7Abelian group; Algebra; Cohomology; Computer; Homological algebra; Representation theory; complexity; compu作者: MOAT 時間: 2025-3-26 08:39
978-90-481-6385-4Springer Science+Business Media Dordrecht 2003作者: Adenoma 時間: 2025-3-26 13:56 作者: Solace 時間: 2025-3-26 17:10 作者: Sad570 時間: 2025-3-26 22:38
Document Sentiment Classification,In this chapter, we begin to concentrate on cohomology of groups, frequently with focus on finite groups. From an algebraic viewpoint, group cohomology is a component of the extension theory of modules over the group algebra .. Let . be any commutative ring of coefficients and . a .-module.作者: 暗諷 時間: 2025-3-27 03:42 作者: 錯事 時間: 2025-3-27 08:52
Group Algebras,Let . be a finite group and let . be a field, or perhaps just a ring with unity.作者: 信條 時間: 2025-3-27 12:05
Projective Resolutions,In this chapter, we begin to concentrate on cohomology of groups, frequently with focus on finite groups. From an algebraic viewpoint, group cohomology is a component of the extension theory of modules over the group algebra .. Let . be any commutative ring of coefficients and . a .-module.作者: cauda-equina 時間: 2025-3-27 14:51
Varieties and Elementary Abelian Subgroups,The aim of this chapter is to develop and prove a generalized version of Quillen’s Dimension Theorem [122, 125]. Our main theorem says that every .-module is a direct summand of a module that has a filtration in which the factors are induced from elementary abelian subgroups. Quillen’s theorem is one of the several consequences that we explore.作者: subordinate 時間: 2025-3-27 18:50 作者: 無能力 時間: 2025-3-27 22:13
Cohomology Rings of Modules, ring H* (., .) via the isomorphism ., and the fact that Hom.(., .) is a finitely generated .-module. For this reason there exists a cohomological support variety ..(.) of the module . which is a subvariety of ..(.) and which reflects many of the homological properties of the module.作者: fatuity 時間: 2025-3-28 05:11 作者: 易怒 時間: 2025-3-28 07:31
Document Sentiment Classification,not pretend that the material is exhaustive or evenhanded; rather we emphasize the aspects of the subject that have direct application in later chapters. We assume basic knowledge of groups, rings, modules and homomorphisms as found in a standard first year graduate algebra course.作者: 種屬關系 時間: 2025-3-28 12:36 作者: Morsel 時間: 2025-3-28 17:44
Book 2003d it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con- nection with finite group representations. Unlike the early applications which were primarily concerned with cohomology in low degrees, the in- teractions with represe作者: 有害處 時間: 2025-3-28 22:27
Spectral Sequences,uences of double complexes have the advantage that they begin with a page 0 and hence the differentials can be tracked from the most basic homomorphisms. Often in topology, the ..-page is the starting point and the page of significance. Indeed, it also plays a significant role in our approach.作者: 狗窩 時間: 2025-3-29 00:24
Steenrod Operations,gebraic construction is based on the observation that the diagonal approximations for resolutions are cocommutative . up to homotopy. The absence of strict cocommutativity allows us to define new cocycles from the noncommutativity of old ones.作者: ECG769 時間: 2025-3-29 05:12
Subgroup Complexes,bgroups. However, in some cases it is possible to construct the cohomology from the cohomology of proper subgroups of the group .. One such method uses subgroup complexes which are topological spaces constructed from partially ordered sets of collections of .-subgroups of .. We give an account of the method in this chapter.作者: barium-study 時間: 2025-3-29 08:25 作者: 漂浮 時間: 2025-3-29 12:13
Computer Calculations and Completion Tests, to get all of the generators and relations. Finally, there is the question of whether the computer has computed accurately. The aim of this chapter is to provide a framework in which these stages can be successfully completed.作者: 整潔 時間: 2025-3-29 16:53 作者: 捐助 時間: 2025-3-29 21:26
Document Sentiment Classification,k of the products as compositions of sequences (splices). In addition, there are several other methods of defining the products. Happily, these methods are equivalent and each reveals distinct insights into the nature of the multiplicative structure.作者: 盡忠 時間: 2025-3-30 03:37 作者: 靈敏 時間: 2025-3-30 05:13 作者: nitric-oxide 時間: 2025-3-30 12:17 作者: 挑剔為人 時間: 2025-3-30 13:15 作者: 線 時間: 2025-3-30 17:11
Sentiment Analysis and Opinion Mining . of coefficients. A required assumption is that . is noetherian. Evens also proved that if . is a finitely generated .-module, then H* (., .) is a finitely generated module over H*(., .). An independent proof of the finite generation was given by Venkov [144].