Nilpotency in Frattini Subgroups

Mohit James; Ajit Paul

doi:https://doi.org/10.14445/22315373/IJMTT-V44P523

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 44 | Number 3 | Year 2017 | Article Id. IJMTT-V44P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V44P523

Nilpotency in Frattini Subgroups

Mohit James, Ajit Paul

Citation :

Mohit James, Ajit Paul, "Nilpotency in Frattini Subgroups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 44, no. 3, pp. 121-122, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V44P523

Abstract

—In 1970, Menegazzo gave a complete description of the structure of soluble IM-groups, i.e., groups in which every subgroup can be obtained as intersection of maximal subgroups. The work is devoted to the structure of finite nilpotent algebras. Relations between nilpotency and Frattini subgroups are given in this paper.

Keywords

Maximal subgroup, Frattini Subgroups, Nilpotent

References

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