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On the number of subgroups of non-metacyclic minimal non-abelian p-groups

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Publication:4985415
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DOI10.1142/S1793557120500941zbMath1472.20035OpenAlexW2914154963MaRDI QIDQ4985415

Pradeep Kumar, Vivek Kumar Jain

Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557120500941


zbMATH Keywords

subgroup\(p\)-groupfinite abelian group


Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Finite nilpotent groups, (p)-groups (20D15) Subgroups of abelian groups (20K27)




Cites Work

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  • Groups of prime power order. Vol. 1.
  • Groups of prime power order. Vol. 3.
  • Fonctions de Möbius sur les groupes abeliens finis
  • AN EXPLICIT FORMULA FOR THE NUMBER OF SUBGROUPS OF A FINITE ABELIAN p-GROUP UP TO RANK 3
  • Counting the Subgroups of Some Finite Groups
  • Counting Subgroups in a Direct Product of Finite Cyclic Groups
  • On the Number of Subgroups of Index Two-An Application of Goursat's Theorem for Groups
  • Subgroups of Finite Abelian Groups Having Rank Two via Goursat’s Lemma
  • On the subgroups of finite Abelian groups of rank three
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