Abstract: For a group G, the Frattini subgroup Frat(G) plays an important role in determining the structure of the group. A subgroup H of G is called supplemented in G, if G = HK, for some proper subgroup K of G. The subgroup K is then called a supplement of H. If for a group G, every subgroup of G possesses a supplement. Such structural properties of Frat(G) motivates to study NAF-groups. In this paper some properties of NAF-groups are discussed along with structure considerations. |
Keywords and phrases: Frat(G), NAF-groups, nS-groups, supplement, aS-groups.
Received: April 13, 2021; Accepted: May 15, 2021; Published: June 28, 2021
How to cite this article: Shiv Narain, A note on NAF-groups, JP Journal of Algebra, Number Theory and Applications 51(1) (2021), 49-54. DOI: 10.17654/NT051010049
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
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