Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/196781
Title: | Burnside's $p^{a} q^{b}$ theorem |
Author: | Santiago Blanco, Víctor |
Director/Tutor: | Zarzuela, Santiago |
Keywords: | Representacions de grups Treballs de fi de grau Anells de grup Teoria de grups Representations of groups Bachelor's theses Group rings Group theory |
Issue Date: | 12-Jun-2022 |
Abstract: | [en] The main goal of this work is to prove the Burnside’s $p^{a} q^{b} -theorem, which states that every group $G$ of order $p^{a} q^{b}$ is solvable. In order to justify the importance of this well-known theorem, a first chapter about solvable groups will be included, in which will be analyzed some properties of solvable groups. The provided proof will use Representation and Character Theory which will be studied in depth. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Santiago Zarzuela |
URI: | http://hdl.handle.net/2445/196781 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
tfg_santiago_blanco_victor.pdf | Memòria | 620.06 kB | Adobe PDF | View/Open |
This item is licensed under a
Creative Commons License