Cambridge University Press eBooks· 2012
Theory of Groups of Finite Order
- 1,071citations
- 2012year
Short summary
This is a reissue of the 1911 second edition of William Burnside's foundational textbook on the theory of finite groups, which includes Frobenius's character theory.
AI-generated from the title and abstract; the full text is not read.
Key points
- Reissue of the 1911 second edition of Burnside's 'Theory of Groups of Finite Order'.
- Covers foundational concepts in the theory of finite groups.
- Includes an account of Frobenius's character theory.
- Historically significant as the first major textbook and a long-standing reference.
AI-generated from the title and abstract; the full text is not read.
Abstract
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.
The authors' abstract, as published at the source. Cambridge University Press eBooks, 2012 · DOI ↗
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Field: Discrete Mathematics and Combinatorics
Discrete Mathematics and CombinatoricsMathematics