# COMPOSITION SERIES OF THE SOLVABLE ABELIAN FACTOR GROUP SOURCE OF EQUATION OF ALL POLYNOMIAL EQUATIONS

• Bernard Alechenu Alechenu Oglekwu Ogbogwu
• Babayo Muhammed Abdullahi
• Daniel Eneojo Emmanuel
Keywords: Cauchy Sequence, Rouche Theorem, Class Equation, Aleph Naught

### Abstract

This work penciled down the Composition Series of Factor Abelian Group over the source of all polynomial equations gleaned through  the nth roots of unity regular gons on a unit circle, a circle of radius one and centered at zero. To get the composition series, the third isomorphism theorem has to be passed through. But, the third isomorphism theorem itself gleaned via the first which is a deduction of the naturally existing canonical map. The solution of the source atom of the equation of all equation of polynomials are solvable by the intertwine of the Euler’s Formula and the De Moivre’s Theorem which after the inter-math, they become within the domain of complex analysis. For the source root of the equations, there is a recursive set of homomorphisms and ontoness of the mappings geneting the sequential terms in the composition series.

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Published
2021-07-17
How to Cite
Alechenu , B., Abdullahi, B. M., & Emmanuel, D. E. (2021). COMPOSITION SERIES OF THE SOLVABLE ABELIAN FACTOR GROUP SOURCE OF EQUATION OF ALL POLYNOMIAL EQUATIONS. FUDMA JOURNAL OF SCIENCES, 5(2), 462 - 469. https://doi.org/10.33003/fjs-2021-0502-458
Section
Research Articles