Finite Collineation Groups With An Introduction To The Theory Of Groups Of Operators And Substitution Groups

Author : H. F. Blichfeldt
Publisher :
ISBN 13 : 9781332127900
Total Pages : 212 pages
Book Rating : 4.1/5 (279 download)

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Download or read book Finite Collineation Groups written by H. F. Blichfeldt and published by . This book was released on 2015-08-04 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Finite Collineation Groups: With an Introduction to the Theory of Groups of Operators and Substitution Groups The theory of finite collineation groups (or linear groups) as developed at present is to be found mainly in scattered articles in mathematical journals, in addition to a few texts on group theory. The author has endeavored in the present volume to give an outline of the different principles contained in these publications, and has at the same time made an effort to depend upon a minimum of abstract group theory. In this and many other respects the present volume differs from Part II of the last book cited in 24; in particular, the present volume contains more of the theory of linear groups, though the student is referred to that Part II for lists of the invariants of the binary and ternary groups. No previous knowledge of the technique of group theory is required for the reading of the opening chapter, which develops the fundamental properties of linear transformations and linear groups. For the greater convenience of the student, an introduction to the theory of groups of operators and substitution groups is given in the second chapter; moreover, certain theorems and definitions from the more advanced parts of algebra needed throughout the book arc stated in explicit form in an Appendix. The groups in two variables are determined in chap. iii by a modified form of a process due to Klein, which depends largely upon geometrical intuition. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."