English

On the number of cyclic subgroup in finite groups

Group Theory 2016-05-03 v1

Abstract

We study the number of cylic subgroups in finite groups and get that GG has G3|G|-3 cyclic subgroups if and only if GD10G \cong D_{10} or Q8Q_8.

Keywords

Cite

@article{arxiv.1605.00193,
  title  = {On the number of cyclic subgroup in finite groups},
  author = {Wei Zhou},
  journal= {arXiv preprint arXiv:1605.00193},
  year   = {2016}
}

Comments

5 pages