Finite p-groups with few non-major k-maximal subgroups

Let [Formula: see text] be a prime and [Formula: see text] a finite [Formula: see text]-group. Hall proved [Formula: see text] [Formula: see text] for [Formula: see text], where [Formula: see text] is the number of subgroups of index [Formula: see text] which do not contain the Frattini subgroup of [Formula: see text]. We determine the minimal values of [Formula: see text] for [Formula: see text] and [Formula: see text].

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A note on an “Anzahl” theorem of P. Hall

Wei

Luo

2019

J. Algebra Appl.

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Finite p-Groups Whose Number of Subgroups of Each Order Is at most p⁴

Wang

2019

Algebra Colloq.

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Finite p-groups with few non-major k-maximal subgroups

Cited by 2 publications

References 11 publications

A note on an “Anzahl” theorem of P. Hall

A note on an “Anzahl” theorem of P. Hall

Finite p-Groups Whose Number of Subgroups of Each Order Is at most p⁴

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Finite p-groups with few non-major k-maximal subgroups

Cited by 2 publications

References 11 publications

A note on an “Anzahl” theorem of P. Hall

A note on an “Anzahl” theorem of P. Hall

Finite p-Groups Whose Number of Subgroups of Each Order Is at most p4

Contact Info

Product

Resources

About

Finite p-Groups Whose Number of Subgroups of Each Order Is at most p⁴