This wide-ranging text features 431 problems in group theory, with complete solutions. Topics include subgroups, permutation groups, automorphisms and finitely generated Abelian groups, normal series, commutators and derived series, solvable and nilpotent groups, the group ring and monomial representations, Frattini subgroup, factorization, and linear groups. 1967 edition. Reprint of the Dover 1973 edition.
Group Theory by W. R. Scott Clear, well-organized coverage of most standard theorems: isomorphism theorems, transformations and subgroups, direct sums, abelian groups, etc. Over 500 exercises. Undergraduate-level.
Applications of Group Theory in Quantum Mechanics by M. I. Petrashen, J. L. Trifonov This advanced text explores the theory of groups and their matrix representations. The main focus rests upon point and space groups, with applications to electronic and vibrational states. 1969 edition.
