Finite typical group subspace orbits generated lattice

Author: Wan Zhexian
Publisher:
Publish Date: 2004-01-01
Features: This book introduces the applications of finite classical groups in lattice theory and combinatorial counting formulas. It primarily discusses lattices generated by subspaces under the action of classical groups over finite fields, as well as the geometric properties of these lattices, and provides their characteristic polynomials. The entire book presents and proves the results using matrix methods. It not only enriches the content of classical groups and combinatorial counting formulas but also makes a valuable attempt to explore the applications of classical groups in other disciplines. This book is suitable for senior undergraduate and graduate students in mathematics departments of universities and mathematicians.