Share
Explore BrainMass

Normalizer of a Group or Centralizer of a Group

Modern Algebra
Group Theory (XXIX)
Subgroups of a Group
Normalizer of a Group
Centralizer of a Group

Normalizer of a Group or Centralizer of a Group: If a is in G define N(a) = {x is in G|xa = ax}.
Show that N(a) is a subgroup of G. N(a) is usually called the Normalizer or Centralizer of a in G.

The fully formatted problem is in the attached file.

Attachments

Solution Summary

It is a problem related to normalizer or centralizer of a group. The solution is detailed and well presented.

$2.19