標題: Titlebook: Blocks of Finite Groups and Their Invariants; Benjamin Sambale Book 2014 Springer International Publishing Switzerland 2014 20C15,20C20,20 [打印本頁] 作者: 大口水罐 時間: 2025-3-21 16:50
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書目名稱Blocks of Finite Groups and Their Invariants影響因子(影響力)學科排名
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書目名稱Blocks of Finite Groups and Their Invariants網(wǎng)絡公開度學科排名
書目名稱Blocks of Finite Groups and Their Invariants被引頻次
書目名稱Blocks of Finite Groups and Their Invariants被引頻次學科排名
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書目名稱Blocks of Finite Groups and Their Invariants年度引用學科排名
書目名稱Blocks of Finite Groups and Their Invariants讀者反饋
書目名稱Blocks of Finite Groups and Their Invariants讀者反饋學科排名
作者: 吹氣 時間: 2025-3-21 21:08 作者: Collision 時間: 2025-3-22 01:07
0075-8434 dy reference for blocks with given defect groups.Includes suProviding a nearly complete selection of up-to-date methods and results on block invariants with respect to their defect groups, this book covers the classical theory pioneered by Brauer, the modern theory of fusion systems introduced by Pu作者: 整體 時間: 2025-3-22 04:39 作者: nitric-oxide 時間: 2025-3-22 12:33 作者: 不容置疑 時間: 2025-3-22 13:19 作者: bronchodilator 時間: 2025-3-22 18:57
Minimal Non-abelian Defect GroupsThe proof makes use of the classification of the finite simple groups. For odd primes we prove that Olsson’s Conjecture holds for blocks with minimal non-abelian defect groups except perhaps for the extraspecial group ..作者: 樹木中 時間: 2025-3-22 23:33 作者: 保守 時間: 2025-3-23 05:00 作者: SPALL 時間: 2025-3-23 08:29 作者: 以煙熏消毒 時間: 2025-3-23 09:56
Definitions and Facts of groups algebras, (lower) defect groups, the Brauer homomorphism, decomposition numbers, subsections, and fusion systems. Moreover, we present Brauer’s three main theorems as well as a few other important results. Most theorems are given without proof.作者: transplantation 時間: 2025-3-23 16:51 作者: assent 時間: 2025-3-23 21:58 作者: Ovulation 時間: 2025-3-24 00:16
Metacyclic Defect Groupslt due to various authors. In the odd case we give a proof of Brauer’s .(.)-Conjecture, Olsson’s Conjecture and Brauer’s Height Zero Conjecture. Moreover, we use a recent result by Watanabe to describe blocks with metacyclic, minimal non-abelian defect groups.作者: admission 時間: 2025-3-24 02:22 作者: QUAIL 時間: 2025-3-24 08:48
Bicyclic Groupsups. In this chapter we classify all saturated fusion systems on bicyclic groups. For odd primes, every bicyclic group is metacyclic and the classification is due to Stancu. In case .?=?2 the classification is very delicate. As an application we verify Olsson’s Conjecture for blocks with bicyclic defect groups.作者: 徹底明白 時間: 2025-3-24 14:24 作者: genesis 時間: 2025-3-24 18:51
Abelian Defect Groupsnd for blocks with abelian defect groups. The proof uses results about regular orbits under coprime actions. Moreover, we show that Brauer’s .(.)-Conjecture holds for blocks with abelian defect groups if the inertial index is less than 256.作者: ARBOR 時間: 2025-3-24 22:51
Life in the Solar System and BeyondWe introduce a list of open conjectures about block theory of finite groups. The first of these conjectures was proposed in 1954 by Brauer, and the last one of our list is a conjecture by Gluck from 2011. It also includes famous conjectures by Olsson, Alperin, McKay and others. All of these conjectures will be considered in the following chapters.作者: BOOST 時間: 2025-3-24 23:39
Dirk Schulze-Makuch,Louis N. IrwinWe introduce a quadratic form arising from the Cartan matrix of a block of a finite group. By invoking Brauer’s notion of basic sets, we exploit some properties of the quadratic form with will lead to restriction on the number of characters of the block. We also discuss a question about the indecomposability of Cartan matrices.作者: 會犯錯誤 時間: 2025-3-25 06:12
Schulze-Makuch Dirk,Louis N. IrwinBy refining the methods of the previous chapter, we obtain another bound for the number of characters in a block of a finite group. This time the fusion system of the block will play an essential role. The statement of the result differs in case .?=?2 from the odd case.作者: enterprise 時間: 2025-3-25 11:05
An Overview of Cosmic EvolutionAfter proving a strong version of Alperin’s Fusion Theorem, we derived some properties of essential subgroups in fusion systems. By using the classification of the strongly .-embedded subgroups we restrictions on the automorphism groups of essential subgroups. This leads to consequences in small cases.作者: FEIGN 時間: 2025-3-25 12:35
Open ConjecturesWe introduce a list of open conjectures about block theory of finite groups. The first of these conjectures was proposed in 1954 by Brauer, and the last one of our list is a conjecture by Gluck from 2011. It also includes famous conjectures by Olsson, Alperin, McKay and others. All of these conjectures will be considered in the following chapters.作者: Irrigate 時間: 2025-3-25 16:18
Quadratic FormsWe introduce a quadratic form arising from the Cartan matrix of a block of a finite group. By invoking Brauer’s notion of basic sets, we exploit some properties of the quadratic form with will lead to restriction on the number of characters of the block. We also discuss a question about the indecomposability of Cartan matrices.作者: LATE 時間: 2025-3-25 22:11
A Bound in Terms of Fusion SystemsBy refining the methods of the previous chapter, we obtain another bound for the number of characters in a block of a finite group. This time the fusion system of the block will play an essential role. The statement of the result differs in case .?=?2 from the odd case.作者: 榮幸 時間: 2025-3-26 04:03 作者: Arb853 時間: 2025-3-26 04:37
Blocks of Finite Groups and Their Invariants978-3-319-12006-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 作者: Corroborate 時間: 2025-3-26 09:27
Marie-Pierre Callait,Dominique Gauthier of groups algebras, (lower) defect groups, the Brauer homomorphism, decomposition numbers, subsections, and fusion systems. Moreover, we present Brauer’s three main theorems as well as a few other important results. Most theorems are given without proof.作者: 哄騙 時間: 2025-3-26 13:26 作者: 讓你明白 時間: 2025-3-26 16:55
J. Rivera Islas,J. C. Micheau,T. Buhseonly. Most importantly, we introduce Fong’s reductions. In the second part we recall the classification of the finite simple groups and note some well-known results about representation theory of simple groups. Finally, we consider the .-solvable case.作者: hypertension 時間: 2025-3-26 22:37
Introduction to Life in the Universelt due to various authors. In the odd case we give a proof of Brauer’s .(.)-Conjecture, Olsson’s Conjecture and Brauer’s Height Zero Conjecture. Moreover, we use a recent result by Watanabe to describe blocks with metacyclic, minimal non-abelian defect groups.作者: 劇本 時間: 2025-3-27 03:48
https://doi.org/10.1007/978-94-007-1003-0isely, we consider products of cyclic groups and 2-groups of maximal nilpotency class. These are the dihedral, semidihedral and quaternion groups. As an application we verify several open conjectures for these special cases.作者: 燕麥 時間: 2025-3-27 06:45
The Origin of Biogenic Elementsups. In this chapter we classify all saturated fusion systems on bicyclic groups. For odd primes, every bicyclic group is metacyclic and the classification is due to Stancu. In case .?=?2 the classification is very delicate. As an application we verify Olsson’s Conjecture for blocks with bicyclic defect groups.作者: 失望未來 時間: 2025-3-27 11:17
J. Rivera Islas,J. C. Micheau,T. Buhse. We use this classification in order to prove Olsson’s Conjecture for all blocks with defect groups of .-rank at most 2 provided . > 3. We also develop general methods which deal with controlled blocks.作者: Initial 時間: 2025-3-27 14:23
Robert S. Mulliken,Bernard J. Ransil M.D.nd for blocks with abelian defect groups. The proof uses results about regular orbits under coprime actions. Moreover, we show that Brauer’s .(.)-Conjecture holds for blocks with abelian defect groups if the inertial index is less than 256.作者: 獨裁政府 時間: 2025-3-27 18:50
Benjamin SambaleCovers a comprehensive range of the most recent literature on block theory.Contains new previously unpublished material.Can be used as a handy reference for blocks with given defect groups.Includes su作者: 女歌星 時間: 2025-3-28 01:33 作者: unstable-angina 時間: 2025-3-28 03:14 作者: 嚴重傷害 時間: 2025-3-28 09:18 作者: 我不明白 時間: 2025-3-28 13:47 作者: 輕而薄 時間: 2025-3-28 18:40
Dirk Schulze-Makuch,Louis N. Irwinis available. Most results are stated in terms of Cartan invariants of subsections. We also provide a practical algorithm for computing Cartan invariants up to basic sets. This algorithm will be used in the following chapters.作者: 灌溉 時間: 2025-3-28 22:47
J. Rivera Islas,J. C. Micheau,T. Buhseonly. Most importantly, we introduce Fong’s reductions. In the second part we recall the classification of the finite simple groups and note some well-known results about representation theory of simple groups. Finally, we consider the .-solvable case.作者: 偽造 時間: 2025-3-29 00:18 作者: 宿醉 時間: 2025-3-29 04:19 作者: 外向者 時間: 2025-3-29 07:54
The Origin of Biogenic Elementsups. In this chapter we classify all saturated fusion systems on bicyclic groups. For odd primes, every bicyclic group is metacyclic and the classification is due to Stancu. In case .?=?2 the classification is very delicate. As an application we verify Olsson’s Conjecture for blocks with bicyclic de作者: Bumptious 時間: 2025-3-29 12:24 作者: esoteric 時間: 2025-3-29 16:49 作者: 雄偉 時間: 2025-3-29 20:32 作者: 解決 時間: 2025-3-30 03:10
Robert S. Mulliken,Bernard J. Ransil M.D.nd for blocks with abelian defect groups. The proof uses results about regular orbits under coprime actions. Moreover, we show that Brauer’s .(.)-Conjecture holds for blocks with abelian defect groups if the inertial index is less than 256.作者: 欄桿 時間: 2025-3-30 05:09 作者: 熔巖 時間: 2025-3-30 09:21 作者: 責難 時間: 2025-3-30 13:14
The Cartan Methodis available. Most results are stated in terms of Cartan invariants of subsections. We also provide a practical algorithm for computing Cartan invariants up to basic sets. This algorithm will be used in the following chapters.
