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