Upon its 1959 publication, this encyclopedic treatment of the current knowledge of group theory was widely praised for its readability and accessibility. Today this volume remains useful as an unsurpassed resource for learning and reviewing the basics of a fundamental and ever-expanding area of modern mathematics. This remarkable book undoubtedly will become a standard text on group theory. - Eugene Guth, American Scientist. AUTHOR: Marshal Hall, Jr., (1910 1990) worked in Naval Intelligence during World War II, including six months in 1944 at Bletchley Park in the UK, the famed center of British codebreaking. He taught at Ohio State from 1946 until 1959, when he joined the faculty at the California Institute of Technology. In 1971 he became the first IBM Professor at Caltech, the first named chair in math. He retired from Caltech in 1981 and later taught at Emory University. In addition to group theory, he made significant contributions to combinatorics and other areas.