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Synopsis
The British mathematician William Burnside (1852–1927) and Ferdinand Georg Frobenius (1849–1917), Professor at Zurich and Berlin universities, are considered to be the founders of the modern theory of finite groups. Not only did Burnside prove many important theorems, but he also laid down lines of research for the next hundred years: two Fields Medals have been awarded for work on problems suggested by him. The Theory of Groups of Finite Order, originally published in 1897, was the first major textbook on the subject. The 1911 second edition (reissued here) contains an account of Frobenius's character theory, and remained the standard reference for many years.
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Book Description
William Burnside (1852–1927) was one of the founders of the modern theory of finite groups. This book, originally published in 1897, is reissued here in the updated second edition of 1911. It includes an account of the character theory of Ferdinand Georg Frobenius (1849–1917), which influenced Burnside's research.
About the Author
British mathematician William Burnside (1852–1927) studied at Cambridge University and was later appointed Professor of Mathematics at the Royal Naval College in Greenwich, UK, where he spent his career. Burnside published more than 150 papers on mathematical topics. Cambridge University Press published the first edition of his classic book, Theory of Groups of Finite Order, in 1897 and in an expanded second edition in 1911. For the next 40-plus years, this book was the classic introduction to group theory, a worthy ancestor of Marshall Hall's The Theory of Groups, first published in 1959 and also now reprinted by Dover.
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- PublisherCambridge University Press
- Publication date2012
- ISBN 10 1108050328
- ISBN 13 9781108050326
- BindingPaperback
- Number of pages544
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