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The Fundamental Homomorphism Theorem

In: Learning Abstract Algebra with ISETL

Author

Listed:
  • Ed Dubinsky

    (Purdue University, Department of Curriculum & Instruction and Mathematics)

  • Uri Leron

    (Israel Institute of Technology, Department of Science Education Technion)

Abstract

In the last section of the previous chapter you constructed, given a group G and a subgroup H, the set of cosets GmodH and coset multiplication in ISETL. The cosets were always right cosets. In. the next few activities you’ll be exploring the relationship between right and left cosets. Edit the proc name_group to include the set of right cosets, left cosets and multiplication between cosets. Also, replace K by two funcs, Kr and K1 corresponding to right and left cosets. (You’ll need your original name_group later so it might be a good idea to save a copy of it under a different name before editing.) Now after running namе_group you should have the following notation.

Suggested Citation

  • Ed Dubinsky & Uri Leron, 1994. "The Fundamental Homomorphism Theorem," Springer Books, in: Learning Abstract Algebra with ISETL, chapter 4, pages 119-151, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2602-4_4
    DOI: 10.1007/978-1-4612-2602-4_4
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