Classification and Applications of Special Matrices over Galois Rings

Author: Wu Yan
Publisher:
Publish Date: 2006-07-01
Features: This book primarily discusses the classification and applications of several special matrices on finite classical groups over Galois rings. It mainly focuses on the standard forms of several special matrices under the action of classical groups on special Galois rings, the orbits and lengths of sets of special matrices, as well as the computation of the order of classical groups. The book also elaborates on the applications of these classification results in experimental design, coding, and the theory of generalized inverse counting of matrices. The entire book primarily employs methods of matrix groups over rings and combinatorial counting methods as the main tools for exposition and argumentation, enriching the research on classical groups over rings and their applications, combinatorial counting theory, and matrix theory.