Finite non-cyclic $p$-groups whose number of subgroups is minimal

Stefanos Aivazidis; Thomas Müller

doi:10.1007/s00013-019-01376-9

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arXiv · 1905.10153

Finite non-cyclic $p$-groups whose number of subgroups is minimal

Stefanos Aivazidis·Thomas Müller

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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.

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BibTeX RIS

Stefanos Aivazidis, Thomas Müller. 2019-05-24. Finite non-cyclic $p$-groups whose number of subgroups is minimal. https://doi.org/10.1007/s00013-019-01376-9

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