Finite non-cyclic $p$-groups whose number of subgroups is minimal
Group Theory
2020-09-21 v1
Abstract
Recent results of Qu and Tuarnauceanu describe explicitly the finite p-groups which are not elementary abelian and have the property that the number of their subgroups is maximal among p-groups of a given order. We complement these results from the bottom level up by determining completely the non-cyclic finite p-groups whose number of subgroups among p-groups of a given order is minimal.
Cite
@article{arxiv.1905.10153,
title = {Finite non-cyclic $p$-groups whose number of subgroups is minimal},
author = {Stefanos Aivazidis and Thomas Müller},
journal= {arXiv preprint arXiv:1905.10153},
year = {2020}
}
Comments
4 pages