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.
Education
- BSc, Manipur University
- MSc, Kanpur University
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