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Solution of groups and algebraic equations
University of Priština - Kosovska Mitrovica, Faculty of Teacher Education, Prizren-Leposavić

emailalija.mandak@pr.ac.rs
Keywords: group; Abelian group; solution; algebraic equations
Abstract
The term of manageable groups is defined as a generalization of the concept of Abelian group. The theorem which gives criteria for solution of group is proven. The main result of the work is that the group Sn za n 5 is not solvable. This result is used in Galois theory as a proof for solution of general algebraic equation of n degree over the field of complex numbers.
References
Artin, E. (1957) Geometric algebra. New York: Interscience Publishers
Čupona, G., Trpenovski, B. (1973) predavanja po algebra II. Skopje: Univerzitet vo Skopje
Kočinac, Lj., Mandak, A. (1996) Algebra II. Priština: Univerzitet u Prištini
Kočinac, Lj. (1991) Linearna algebra i analitička geometrija. Niš: Univerzitet u Nišu
Kurepa, Đ. (1971) Viša algebra II. Beograd: Zavod za izdavanje udžbenika
Perić, V. Algebra II. Sarajevo
Rose, J.S. (1978) A course on group theory. Cambridge-London-New York-Melbourne
Stewart, I. (1975) Galois theory. London: Chapman and Hall
Stojaković, Z., Paunić, Đ. (1984) Zbirka zadataka iz algebre. Beograd
 

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article language: Serbian
document type: unclassified
DOI: 10.5937/zrufpl1711043M
published in SCIndeks: 21/06/2018

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