PDF⋙ An Introduction to the Theory of Groups of Finite Order by Harold Hilton
An Introduction to the Theory of Groups of Finite Order by Harold Hilton
An Introduction to the Theory of Groups of Finite Order by Harold Hilton PDF, ePub eBook D0wnl0ad
From the PREFACE.THIS book aims at introducing the reader to more advanced treatises and original papers on Groups of finite order. The subject requires for its study only an elementary knowledge of Algebra (especially Theory of Numbers), but the average student may nevertheless find the many excellent existing treatises rather stiff reading. I have tried to lighten for him the initial difficulties, and to show that even the most recent developments of pure Mathematics are not necessarily beyond the reach of the ordinary mathematical reader.
I have omitted as far as possible lengthy and difficult investigations; their place is, taken by an unusually numerous selection of examples. Students who have had no previous acquaintance with the subject should work a few of these examples after reading each section. Many of them can be solved at sight, and are inserted merely to make the reader familiar with the definitions and theorems of the text. Hints for the solution of the rest will be found at the end of the book.
In an elementary treatise references would be out of place; for complete lists the reader may consult Easton's Constructive Development of Group-Theory (Philadelphia University, 1902), and Miller's 'Reports on Group-Theory' in Bulletin Amer. Math. Soc., v (1899), p. 227; vii (1900), p. 121 ; ix (1902), p. 106; xiv (1907), pp. 78, 124….
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