Contents

Ars Combinatoria

  • Research article

Mobius Functions and Characteristic Polynomials of Subspace Lattices Under the Finite Classical Groups

Li-fang Huo1, Yan-bing Zhao2, Yuan-ji Huo3
1Department of Mathematics and Physics, Hebei Institute of Architecture Civil Engineering, Zhangjiakou, 075000, China
2 Department of Basic Courses, Zhangjiakou Vocational end Technical College , Zhangjiakou, 075051, China
3Department of Mathematics, Hebei North University , Zhangjiakou, 075000, China
  • Published: 31/07/2016

Abstract

In this paper, some lattices generated by the orbits of the subspaces under finite classical groups are considered. the characteristic polynomials of these lattices are obtained by using the effective approach by Aigner in \([2]\) , and their expressions are also determined.

Citation
Li-fang Huo, Yan-bing Zhao, Yuan-ji Huo. Mobius Functions and Characteristic Polynomials of Subspace Lattices Under the Finite Classical Groups[J], Ars Combinatoria, Volume 127. 261-269. .