Computational Aspects of Finite p-Groups - Lecture 1

Computational Aspects of Finite p-Groups - Lecture 1

International Centre for Theoretical Sciences via YouTube Direct link

Consistent pc presentations

20 of 26

20 of 26

Consistent pc presentations

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Computational Aspects of Finite p-Groups - Lecture 1

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

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