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Finite groups. --- Group rings. --- p-adic numbers. --- P-adic numbers. --- Group theory --- 512.542 --- Finite groups --- 512.542 Finite groups

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This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.

Representations of groups. --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- 512.542 --- 512.542 Finite groups --- Finite groups --- Representations of groups

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Group theory --- 512.542.5 --- Finite groups --- #KOPO:Prof. R. Holvoet --- Groups, Finite --- Modules (Algebra) --- Finite simple groups. Subgroups of non-solvable groups --- 512.542.5 Finite simple groups. Subgroups of non-solvable groups --- Finite groups. --- Groupes finis.

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512.542 --- 512.542 Finite groups --- Finite groups --- Group theory --- Groupes finis --- Nilpotent groups. --- Groupes nilpotents. --- Groupes, Théorie des --- Solvable groups --- Groupes résolubles --- Nilpotent groups0(DLC) sh 85057511 --- Solvable groups. --- Groupes résolubles. --- Groupes, Théorie des --- Représentations de groupes

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The Representation Theory of Finite Groups

Group theory --- Finite groups --- Modular representations of groups --- 512.542 --- 512.547 --- 512.547 Linear representations of abstract groups. Group characters --- Linear representations of abstract groups. Group characters --- 512.542 Finite groups --- Representations of groups --- Groups, Finite --- Modules (Algebra) --- Modular representations of groups. --- Finite groups. --- MODULAR REPRESENTATIONS of groups