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Titlebook: Varieties of Groups; Hanna Neumann Book 1967 Springer-Verlag, Berlin · Heidelberg 1967 Abstract algebra.Group theory.Gruppe (Math.).Variet

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發(fā)表于 2025-3-21 16:31:56 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Varieties of Groups
編輯Hanna Neumann
視頻videohttp://file.papertrans.cn/981/980680/980680.mp4
叢書名稱Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
圖書封面Titlebook: Varieties of Groups;  Hanna Neumann Book 1967 Springer-Verlag, Berlin · Heidelberg 1967 Abstract algebra.Group theory.Gruppe (Math.).Variet
描述Varieties of algebras are equationally defined classes of algebras, or "primitive classes" in MAL‘CEV‘S terminology. They made their first explicit appearance in the 1930‘s, in Garrett BIRKHOFF‘S paper on "The structure of abstract algebras" and B. H. NEUMANN‘S paper "Identical relations in groups I". For quite some time after this, there is little published evidence that the subject remained alive. In fact, however, as part of "universal algebra", it aroused great interest amongst those who had access, directly or indirectly, to PHILIP HALL‘S lectures given at Cambridge late in the 1940‘s. More recently, category theory has provided a general setting since varieties, suitably interpreted, are very special examples of categories. Whether their relevance to category theory goes beyond this, I do not know. And I doubt that the category theoretical approach to varieties will be more than a fringe benefit to group theory. Whether or not my doubts have substance, the present volume owes its existence not to the fact that varieties fit into a vastly more general pattern, but to the benefit group theory has derived from the classification of groups by varietal properties. It is this aspec
出版日期Book 1967
關(guān)鍵詞Abstract algebra; Group theory; Gruppe (Math; ); Varieties; algebra; category theory; equation
版次1
doihttps://doi.org/10.1007/978-3-642-88599-0
isbn_softcover978-3-642-88601-0
isbn_ebook978-3-642-88599-0
copyrightSpringer-Verlag, Berlin · Heidelberg 1967
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沙發(fā)
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板凳
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Book 1967fringe benefit to group theory. Whether or not my doubts have substance, the present volume owes its existence not to the fact that varieties fit into a vastly more general pattern, but to the benefit group theory has derived from the classification of groups by varietal properties. It is this aspec
地板
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Hanna Neumanneitend eine knappe übersicht über grunds?tzliche Varianten der Bildungsfinanzierung gegeben. Daran schlie?t sich eine Skizzierung der Vorschl?ge Friedmans und eine Diskussion ihrer übertragbarkeit auf die deutsche Situation an. Erst auf diesem Hintergrund sollen dann die Grundzüge der Vorschl?ge des
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The Laws of Finite Groups,rly on. As every variety is generated by its finitely generated groups, a locally finite variety is generated by its finite groups. By 15.73, a finite group of such a variety is a factor of a finite direct product of finite groups taken from some generating set of the variety.
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Book 1967pearance in the 1930‘s, in Garrett BIRKHOFF‘S paper on "The structure of abstract algebras" and B. H. NEUMANN‘S paper "Identical relations in groups I". For quite some time after this, there is little published evidence that the subject remained alive. In fact, however, as part of "universal algebra
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