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Finite Collineation Groups: With An Introduction To The Theory Of Groups Of Operators And Substitution Groups (1917) - Couverture rigide

Blichfeldt, Hans Frederick

 
9781164265214: Finite Collineation Groups: With An Introduction To The Theory Of Groups Of Operators And Substitution Groups (1917)

Synopsis

Finite Collineation Groups: With An Introduction To The Theory Of Groups Of Operators And Substitution Groups is a book written by Hans Frederik Blichfeldt and first published in 1917. The book is a comprehensive study of finite collineation groups, which are groups of transformations that preserve collinearity (the property of lying on a straight line) in a given geometry. The book begins with an introduction to the basic concepts of group theory, including group operations, subgroups, and homomorphisms. It then moves on to discuss collineation groups, including their definition, properties, and classification. Blichfeldt provides numerous examples of collineation groups and their applications in geometry and algebra.The second part of the book is devoted to the theory of groups of operators, which are groups of transformations that preserve a given set of operations. Blichfeldt discusses the basic properties of these groups, including their structure and classification, and provides examples of their use in geometry and algebra.The final part of the book is dedicated to substitution groups, which are groups of permutations that preserve a given set of relations. Blichfeldt provides a detailed discussion of the basic properties of these groups, including their structure and classification, and provides examples of their use in algebra and number theory.Overall, Finite Collineation Groups: With An Introduction To The Theory Of Groups Of Operators And Substitution Groups is a comprehensive and authoritative text on the theory of finite collineation groups, and is an essential reference for anyone interested in the study of group theory, geometry, and algebra.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Présentation de l'éditeur

This volume is produced from digital images created through the University of Michigan University Library's preservation reformatting program. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the text that can both be accessed online and used to create new print copies. This book and thousands of others can be found in the digital collections of the University of Michigan Library. The University Library also understands and values the utility of print, and makes reprints available through its Scholarly Publishing Office.

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