The Fundamental Homomorphism Theorem

Ed Dubinsky and Uri Leron
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Ed Dubinsky: Purdue University, Department of Curriculum & Instruction and Mathematics
Uri Leron: Israel Institute of Technology, Department of Science Education Technion

Chapter 4 in Learning Abstract Algebra with ISETL, 1994, pp 119-151 from Springer

Abstract: 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.

Keywords: Normal Subgroup; Finite Group; Identity Element; Inverse Image; Quotient Group (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1007/978-1-4612-2602-4_4

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