Math 2.0

concept

Index of a subgroup

Summary

The index of a subgroup HH in a group GG is the number of left cosets of HH in GG. For finite groups, it is ∣G∣/∣H∣|G| / |H|.

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)

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Sources

  1. Web https://en.wikipedia.org/wiki/Index_of_a_subgroup, lead section