English

Groups with at most 13 nonpower subgroups

Group Theory 2026-02-04 v1

Abstract

For a group G and positive interger m, Gm denotes the subgroup generated by the elements gm where g runs through G. The subgroups not of the form Gm are called nonpower subgroups. We extend the classification of groups with few nonpower subgroups from groups with at most 9 nonpower subgroups to groups with at most 13 nonpower subgroups.

Keywords

Cite

@article{arxiv.2309.11113,
  title  = {Groups with at most 13 nonpower subgroups},
  author = {Jiwei Zheng and Wei Zhou and D. E. Taylor},
  journal= {arXiv preprint arXiv:2309.11113},
  year   = {2026}
}

Comments

16 pages, 0 figures

R2 v1 2026-06-28T12:26:56.514Z