A subgroup $H$ of a group $G$ is said to be permutable subgroup if and only if $HK=KH$ for every subgroup $K$ of $G$. Certainly, every normal subgroup is permutable. The converse is not true. In this research we will find all permutable subgroups of the groups of order $16$. Then, find which subgroup is permutable and not normal.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 1
Year: 2019

DOI: 10.12732/ijam.v32i1.10

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