On the Structure of Characteristic Subgroup Lattices of Finite Abelian p-Groups

Authors

  • Afif Humam
  • Pudji Astuti

DOI:

https://doi.org/10.47013/15.3.4

Keywords:

Abelian groups, characteristic subgroups, fully invariant, lattices.

Abstract

Received on: Jan. 12, 2021;                                          Accepted on: Dec. 30, 2021

 

 This paper gives explicit descriptions of characteristic and fully invariant subgroups of a finite abelian p-group in term of its cyclic decomposition.
The results are then utilized to identify the lattice of characteristic subgroups is self-dual.

Cited by : Jordan J. Math & Stat., 15 (3A) (2022), 435 - 444

Author Biographies

Afif Humam

Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung, 40132, West Java, Indonesia

Pudji Astuti

Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung, 40132, West Java, Indonesia

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Published

2023-01-14

How to Cite

Humam , A., & Astuti , P. (2023). On the Structure of Characteristic Subgroup Lattices of Finite Abelian p-Groups. Jordan Journal of Mathematics and Statistics, 15(3), 435–444. https://doi.org/10.47013/15.3.4

Issue

Vol. 15 No. 3 (2022)

Section

Articles