文章通过文献分析、作品技术剖析及社会背景的结合,探讨Ornette Coleman专辑《The Shape of Jazz to Come》的创作理念“和谐逻辑”在和声、节奏与音色革新中的应用,并结合民权运动时期的社会变迁,揭示自由爵士在文化表达中的独特作用...文章通过文献分析、作品技术剖析及社会背景的结合,探讨Ornette Coleman专辑《The Shape of Jazz to Come》的创作理念“和谐逻辑”在和声、节奏与音色革新中的应用,并结合民权运动时期的社会变迁,揭示自由爵士在文化表达中的独特作用。主要观点:专辑通过弱化传统爵士和声的功能性,强调平等对话和自由即兴,奠定了自由爵士的理论基础。这种突破性创作模式深刻影响了现代爵士、即兴音乐及先锋音乐流派的演进。同时,自由爵士以其无拘无束的风格,呼应了黑人群体对公平正义的渴望,成为民权运动的重要艺术表达形式。研究意义:该研究展现了自由爵士如何通过音乐创新与社会觉醒的结合,为后续音乐流派提供创作灵感,并推动爵士乐从传统向现代的转型,成为20世纪文化发展的重要标志。展开更多
Recall that a subgroup H of a finite group G is called a TI-subgroup if H ∩ H^9 = 1 or H for each g ∈ G. Suppose that G is a finite group whose second maximal subgroups are TI-subgroups. It is shown that every class...Recall that a subgroup H of a finite group G is called a TI-subgroup if H ∩ H^9 = 1 or H for each g ∈ G. Suppose that G is a finite group whose second maximal subgroups are TI-subgroups. It is shown that every class-preserving Coleman automorphism of G is an inner automorphism. As an immediate consequence of this result, we obtain that the normalizer property holds for G.展开更多
Let G be a finite group and Outcoz（G） the Coleman outer automorphism group of G（for the definition, see below）. The question whether Outcol（G） is a p′-group naturally arises from the study of the normalizer pro...Let G be a finite group and Outcoz（G） the Coleman outer automorphism group of G（for the definition, see below）. The question whether Outcol（G） is a p′-group naturally arises from the study of the normalizer problem for integral group rings, where p is a prime. In this article, some sufficient conditions for OutCol（G） to be a p＇-group are obtained. Our results generalize some well-known theorems.展开更多
文摘文章通过文献分析、作品技术剖析及社会背景的结合,探讨Ornette Coleman专辑《The Shape of Jazz to Come》的创作理念“和谐逻辑”在和声、节奏与音色革新中的应用,并结合民权运动时期的社会变迁,揭示自由爵士在文化表达中的独特作用。主要观点:专辑通过弱化传统爵士和声的功能性,强调平等对话和自由即兴,奠定了自由爵士的理论基础。这种突破性创作模式深刻影响了现代爵士、即兴音乐及先锋音乐流派的演进。同时,自由爵士以其无拘无束的风格,呼应了黑人群体对公平正义的渴望,成为民权运动的重要艺术表达形式。研究意义:该研究展现了自由爵士如何通过音乐创新与社会觉醒的结合,为后续音乐流派提供创作灵感,并推动爵士乐从传统向现代的转型,成为20世纪文化发展的重要标志。
基金Supported by the National Natural Science Foundation of China(Grant Nos.1117116911071155)the Doc-toral Foundation of Shandong Province(Grant No.BS2012SF003)
文摘Recall that a subgroup H of a finite group G is called a TI-subgroup if H ∩ H^9 = 1 or H for each g ∈ G. Suppose that G is a finite group whose second maximal subgroups are TI-subgroups. It is shown that every class-preserving Coleman automorphism of G is an inner automorphism. As an immediate consequence of this result, we obtain that the normalizer property holds for G.
基金Supported by NSF of China(11171169)the B.S.Foundation of Shandong Province(BS2012SF003)
文摘Let G be a finite group and Outcoz（G） the Coleman outer automorphism group of G（for the definition, see below）. The question whether Outcol（G） is a p′-group naturally arises from the study of the normalizer problem for integral group rings, where p is a prime. In this article, some sufficient conditions for OutCol（G） to be a p＇-group are obtained. Our results generalize some well-known theorems.
基金Supported by the National Natural Science Foundation of China(Grant Nos.1117116911071155)the Doctorial Foundation of Shandong Province(Grant No.BS2012SF003)
文摘Let G be a finite group with a unique nontrivial normal subgroup. It is shown that every Coleman automorphism of G is an inner automorphism.
