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Let G be a group.

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Let G be a group.
Show that
O(a^n) = O(a)/(O(a),n) for all a belongs to G,
where n is an integer and
(O(a), n) = greatest common divisor of O(a) and n.

The details are given in the attached file.

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Solution Summary

This problem is for showing in a group G that
O(a^n) = O(a)/(O(a),n) for all a belongs to G,
where n is an integer and
(O(a), n) = greatest common divisor of O(a) and n.
All are given detail.

Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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