Group Theory in China, Softcover reprint of the original 1st ed. 1996 Mathematics and Its Applications Series, Vol. 365

Hsio-Fu Tuan is a Chinese mathematician who has made important contributions to the theories of both finite groups and Lie groups. He has also had a great influence on the development of algebra, and particularly group theory in China. The present volume consists of a collection of essays on various aspects of group theory written by some of his former students and colleagues in honour of his eightieth birthday. The papers contain the main general results, as well as recent ones, on certain topics within this discipline. The chief editor, Zhe-Xian Wan, is a leading algebraist in China. Audience: This volume will be of interest to mathematicians specialising in group theory, graph theory, algebraic K-theory and Lie algebras, and those wishing to gain insight in the development and prospects of group theory in China.

Generalized Simple Groups of Lie Type.- Abstract Group Theory.- Several Questions About Finite Group Representations and Their Applications.- Recent Progress on Classical Groups and Algebraic K-Theory in China.- Some Work on the Connection Between Groups and Combinatorics.- On the Subgroup Structure of Classical Groups.- Complex Lie Algebra in China.- Lie Algebras of Prime Characteristic.- Left Cells in Certain Coxeter Groups.- Some Works on Modular Representations of Finite Groups.- The Quantitative Structure of Groups and Related Topics.- Survey on Geometry of Classical Groups over Finite Fields and Its Applications.- Representation Theory of Algebraic and Quantum Groups in China.- Some Work on Vertex-Transitive Graphs by Chinese Mathematicians.- Some New Developments in the Study of Differential Geometry of Homogeneous Spaces.