English

The M\"obius Function of the Affine Linear Group $\text{AGL}(1,\Bbb F_q)$

Group Theory 2020-01-29 v1 Combinatorics

Abstract

Let AGL(1,Fq)\text{AGL}(1,\Bbb F_q) denote the affine linear group of dimension one over the finite field Fq\Bbb F_q. We determine the M\"obius function of the lattice of subgroups of AGL(1,Fq)\text{AGL}(1,\Bbb F_q).

Keywords

Cite

@article{arxiv.2001.10154,
  title  = {The M\"obius Function of the Affine Linear Group $\text{AGL}(1,\Bbb F_q)$},
  author = {Xiang-dong Hou},
  journal= {arXiv preprint arXiv:2001.10154},
  year   = {2020}
}

Comments

8 pages