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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Statement of the Problem
1.3 Objectives of the Study
1.4 Research Questions
1.5 Significance of the Study
1.6 Scope of the Study
1.7 Limitations of the Study

Chapter 2: Literature Review
2.1 Introduction to Representation Theory
2.2 Characters and Representations of Finite Groups
2.3 Previous Studies on Representation Theory
2.4 Gaps in the Literature
2.5 Theoretical Framework

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Sampling Techniques
3.4 Data Analysis Techniques
3.5 Ethical Considerations

Chapter 4: Discussion of Findings
4.1 Overview of Findings
4.2 Analysis of Findings
4.3 Discussion of Results in Relation to Literature
4.4 Implications of Findings
4.5 Recommendations for Future Research

Chapter 5: Conclusion and Summary
5.1 Summary of Key Findings
5.2 Conclusion
5.3 Contributions to the Field
5.4 Practical Implications
5.5 Suggestions for Future Research

Brief Overview of Thesis:

Representation Theory is a branch of mathematics that studies the ways in which abstract algebraic structures, such as groups, can be represented as linear transformations of vector spaces. Characters and representations of finite groups play a crucial role in this theory, providing insight into the structure and behavior of these groups. This thesis focuses on exploring characters and representations of finite groups, analyzing the existing literature on the topic, and presenting new findings based on research methodology. The study aims to contribute to the field of Representation Theory by providing a deeper understanding of characters and representations of finite groups and their applications in various mathematical contexts. The thesis will conclude with a summary of key findings, practical implications, and suggestions for future research in this area.

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