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Subgroups

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

Edit your proc name_group to obtain a new proc group_table which will define the same names G, o, e, i as name_group, but where o and i will be maps rather than funcs. For example, o will be the set of all pairs of the form [[x, y], x. o y]. Note that expressions like a.o b and i (g) should evaluate to the same group elements as with name_group. Evaluating group_tab1e on a particular group may take much longer than name_group, but once completed, investigations with that group will be much faster.

Suggested Citation

  • Ed Dubinsky & Uri Leron, 1994. "Subgroups," Springer Books, in: Learning Abstract Algebra with ISETL, chapter 3, pages 83-117, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2602-4_3
    DOI: 10.1007/978-1-4612-2602-4_3
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