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Normalizer of a Group or Centralizer of a Group

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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.

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

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Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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