Math 2.0

concept

Direct product of groups

Summary

The direct product of two groups GG and HH is the set G×HG \times H of ordered pairs, with the operation done in each component separately. It is the simplest way to build a new group from two given groups.

What this node needs for W2
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

Sources

  1. Web https://en.wikipedia.org/wiki/Direct_product_of_groups, Definition