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.
An unabridged republication of the classic 1911 edition, this volume covers properties of a group independent of its mode of representation, composition-series of a group, isomorphism of a group with itself, Abelian groups, groups whose orders are the powers of primes, and Sylow's theorem. Permutation groups and groups of linear substitutions receive extensive treatment, along with graphical representation of groups, congruence groups, and special topics.
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