paper

Groups with at most 13 nonpower subgroups

arXiv:2309.11113 · doi:10.1017/S0004972725100750

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.

16 pages, 0 figures