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Group Theory and Computational Methods
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Classroom Contents
Computational Aspects of Finite p-Groups - Lecture 1
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- 1 Group Theory and Computational Methods
- 2 p-group - 1
- 3 Computational aspects of finite p-groups
- 4 Welcome! And a bit about myself...
- 5 Why p-groups?
- 6 There's an abundant supply of p-groups
- 7 Important aspects of p-groups
- 8 Outline of this lecture series
- 9 Main resources*
- 10 Groups and computers
- 11 Group presentations
- 12 Background: central series
- 13 Example: central series
- 14 Polycyclic groups
- 15 Polycyclic Sequence
- 16 Normal Forms
- 17 Example: Normal Forms
- 18 Polycyclic group to presentation
- 19 Pc presentation to group
- 20 Consistent pc presentations
- 21 Collection
- 22 Collection algorithm
- 23 Example: collection
- 24 Consistency checks
- 25 Weighted power-commutator presentation
- 26 Conclusion Lecture 1
