Proširenja grupa

Schill, Helena (2015) Proširenja grupa. Diploma thesis, Faculty of Science > Department of Mathematics.

Language: Croatian

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In this diploma thesis we study group extensions. We prove important result about bijection between extensions and group cohomology. In first chapter we recall basic definitions and results from algebraic structures. In second chapter we introduce the idea of semidirect product and its properties. The third chapter is about general extensions and cohomology. We introduce the concept of cocycle using the definition of lifting. In this chapter we prove the most important results of the thesis, Schreir’s theorem which uses cocycle to solve the extension problem and Schur-Zassenhaus lemma which is it’s consequence.

Item Type: Thesis (Diploma thesis)
Supervisor: Perše, Ozren
Date: 2015
Number of Pages: 31
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 26 Oct 2015 13:37
Last Modified: 26 Oct 2015 13:37

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