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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