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tgt
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Homework Statement
How to find such a presentation? Where would one start?
A presentation for the symmetric group
- Thread starter tgt
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- Group Presentation Symmetric
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SUMMARY
The discussion focuses on finding a presentation for the symmetric group, specifically identifying a generating set of elements. Participants emphasize the importance of starting with the obvious candidates, which typically include transpositions. The conversation highlights the need for a clear understanding of group theory concepts, particularly in relation to symmetric groups and their presentations.
PREREQUISITES- Understanding of group theory fundamentals
- Familiarity with symmetric groups and their properties
- Knowledge of generating sets in algebra
- Basic concepts of mathematical presentations
- Research the properties of symmetric groups, specifically S_n
- Study the concept of generating sets in group theory
- Explore mathematical presentations and their applications
- Learn about transpositions and their role in generating symmetric groups
Mathematicians, students of abstract algebra, and anyone interested in group theory and its applications in mathematics.
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