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Algebra

Concepts needed for advanced study in group theory are introduced. No prior exposure to the subject is assumed. The theoretical language of the subject is developed. This will prepare the reader for the study of rings and fields. The development is ideal for anyone who doesn't have time for a full semester to cover the basics of the subject. It is this kind of development which makes the publication seven pages. It is also the reason for why Lagrange's theorem, cosets, and the symmetric groups are not fully explored as they would in a textbook; rather their results and behaviour are introduced or defined and then immediately used.

  • Subgroups
  • Normal Subgroups
  • Factor Groups
  • Homomorphisms
  • Here is the publication