Tour:Product of subgroups

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This article adapts material from the main article: product of subgroups

This page is part of the Groupprops guided tour for beginners (Jump to beginning of tour)
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WHAT YOU NEED TO DO:
  • Read and understand the definition of product of subgroups.
  • Try to come up with an explanation for why the product of subgroups need not be a subgroup (i.e., where the proof fails).
  • Try to come up with an example in the symmetric group of degree three of a product of subgroups not being a subgroup.
This page is part of the Groupprops guided tour for beginners (Jump to beginning of tour)
PREVIOUS: Equivalence of definitions of group action| UP: Introduction five (beginners)| NEXT: Permuting subgroups
General instructions for the tour | Pedagogical notes for the tour | Pedagogical notes for this part