Since its publication in 1967, Bertram Huppert’s influential Endliche Gruppen I has remained a standard reference on group theory, with its clear, precise and complete exposition. The present volume makes this classic text available in English for the first time, updated with modern notation and notes. In addition to foundational material, the book contains the theory of permutation groups, linear groups, p-groups, nilpotent groups and solvable groups, as well as the transfer homomorphism and ordinary representation theory. All topics are fully developed and accessible to students with a basic knowledge of algebra. Its comprehensive coverage and inclusion of more advanced topics make this self-contained treatise an invaluable resource for graduate students and researchers.

No detailed description available for "Character Theory of Finite Groups".

17):~t? L It CIFDr- ! wei! unsre Weisheit Einfalt ist, From "Lohengrin", Richard Wagner At the time of the appearance of the first volume of this work in 1967, the tempestuous development of finite group theory had already made it virtually impossible to give a complete presentation of the subject in one treatise. The present volume and its successor have therefore the more modest aim of giving descriptions of the recent development of certain important parts of the subject, and even in these parts no attempt at completeness has been made. Chapter VII deals with the representation theory of finite groups in arbitrary fields with particular attention to those of non-zero charac teristic. That part of modular representation theory which is essentially the block theory of complex characters has not been included, as there are already monographs on this subject and others will shortly appear. Instead, we have restricted ourselves to such results as can be obtained by purely module-theoretical means.

Das vorliegende Lehrbuch erarbeitet die Lineare Algebra aus der Sicht der Anwendungen, die Erstsemester häufig in der Vorlesung vermissen. Es motiviert durch viele verschiedenartige Beispiele aus der Praxis, vermittelt Rechentechniken und führt so zu einem tieferen Verständnis der abstrakten Theorie. Anwenden heißt Verstehen. In diesem Sinn ist das Buch geschrieben.

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