Review of Called too Soon by Flames Afar, a biography of Niels Abel by A. Stubhaug (Springer Verlag, 2000). Review appeared in the August, 2002, edition of the Notices of the American Mathematical Society.
Niels H. Abel from whom Abelian groups take their name. Short account of Abel's life from the St. Andrews University Web archive.
Development of the Abstract Group Concept notes from a talk by Peter Neumann in March of 2001 at a conference in Sussex, England.
A brief history of the development of group theory from the St. Andrews archive.
Arthur Cayley who in 1854 first considered abstract groups
Felix Klein who introduced the four-group (viergruppe) V.
Joseph-Louis Lagrange who understood the relation between the order of a subgroup and that of a supergroup before groups had even been defined!
M. Sophus Lie the creater of Lie theory, which plays a central role in physics, geometry, analysis and topology in addition to the classification of finite simple groups.
Ludwig Sylow , the Norwegian mathematician of the late 19th and early 20th centuries, who proved the three fundamental Sylow theorems about subgroups of finite groups.
F. Georg Frobenius , the German mathematician of the late 19th and early 20th centuries, who is best known for his many fundamental contributions to representation theory, but who also proved (with a colleague at Zurich) the fundamental structure theorem for abelian groups.
Nathan Jacobson, one of the giants of modern algebra, whose convention that rings should always possess a multiplicative identity is followed in our text. A handout from his text Basic Algebra discusses the question of extending the imbedding theorem of a commutative integral domain in its field of fractions.
Anatoly Malcev, a Russian mathematician of the 20th century who settled an intriguing question about the possibility of imbedding noncommutative integral domains in division rings, and who made many other important contributions to algebra and topological groups.