Structure of Group Rings and the Group of Units of Integral Group Rings - Lecture 1

Structure of Group Rings and the Group of Units of Integral Group Rings - Lecture 1

International Centre for Theoretical Sciences via YouTube Direct link

Idempotent

5 of 24

5 of 24

Idempotent

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Structure of Group Rings and the Group of Units of Integral Group Rings - Lecture 1

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  1. 1 Structure of groups rings and the group of units of integral group rings
  2. 2 Group Ring
  3. 3 What is Group Ring?
  4. 4 Ring theory
  5. 5 Idempotent
  6. 6 What is the idea of a group ring originally?
  7. 7 How does it relate to this as groups isomorphic?
  8. 8 What are the invertible elements?
  9. 9 Lemma
  10. 10 Why these problems are equivalent?
  11. 11 Augmentation mapping
  12. 12 Why the unit group is really relevant?
  13. 13 Does that exist a torsion free normal subgroup say N, of UnZG ?
  14. 14 Black box
  15. 15 Via braces one gets closer and closer to this and braces are solutions of young Baxter equation
  16. 16 Why to look at unit groups?
  17. 17 Constructions of units
  18. 18 Unipotent unit
  19. 19 Construct potent element from idempotent
  20. 20 Notation
  21. 21 Bass units
  22. 22 Number theory
  23. 23 Cyclotomic units
  24. 24 Theorem

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