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Group theory --- Abelian groups --- CW complexes --- Nilpotent groups --- Groupes abéliens --- CW-Complexes --- Groupes nilpotents --- Abelian groups. --- CW complexes. --- Nilpotent groups. --- Groupes abéliens

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This monograph first published in 1986 is a reasonably self-contained account of a large part of the theory of non-commutative Noetherian rings. The author focuses on two important aspects: localization and the structure of infective modules. The former is presented in the opening chapters after which some new module-theoretic concepts and methods are used to formulate a new view of localization. This view, which is one of the book's highlights, shows that the study of localization is inextricably linked to the study of certain injectives and leads, for the first time, to some genuine applications of localization in the study of Noetherian rings. In the last part Professor Jategaonkar introduces a unified setting for four intensively studied classes of Noetherian rings: HNP rings, PI rings, enveloping algebras of solvable Lie algebras, and group rings of polycyclic groups. Some appendices summarize relevant background information about these four classes.

Noetherian rings. --- Localization theory. --- Categories (Mathematics) --- Homotopy theory --- Nilpotent groups --- Rings, Noetherian --- Associative rings --- Commutative rings

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Nilpotent Groups and Their Automorphisms (Beihefte Zur Zeitschrift Fur Die Neutestamentliche Wissenschaft).

512.544.3 --- Nilpotent groups --- Automorphisms --- 512.544.3 Normal series and systems. Radicals in groups --- Normal series and systems. Radicals in groups --- Group theory --- Symmetry (Mathematics) --- Groups, Nilpotent --- Finite groups --- Nilpotent groups. --- Automorphisms.

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Group theory --- Banach algebras. --- C*-algebras. --- Operator theory --- Nilpotent groups. --- Groupes nilpotents. --- Groupes, Théorie des --- Algèbres d'opérateurs

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Block theory is a part of the theory of modular representation of finite groups and deals with the algebraic structure of blocks. In this volume Burkhard Külshammer starts with the classical structure theory of finite dimensional algebras, and leads up to Puigs main result on the structure of the so called nilpotent blocks, which he discusses in the final chapter. All the proofs in the text are given clearly and in full detail, and suggestions for further reading are also included. For researchers and graduate students interested in group theory or representation theory, this book will form an excellent self contained introduction to the theory of blocks.

Blocks (Group theory) --- Finite groups. --- Nilpotent groups. --- Groups, Nilpotent --- Finite groups --- Groups, Finite --- Group theory --- Modules (Algebra) --- Block theory (Group theory) --- Representations of groups