Counting Principle: Permutation Groups
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Modern Algebra
Group Theory (CVIII)
Permutation Groups
Another Counting Principle
Using the theorem ' If O(G) = p^n , where p is a prime number, then Z(G) ≠ (e) ' as a tool, prove that
if O(G) = p^n where p is a prime number, then G has a subgroup of order p^α for all 0 < α ≤ n .
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Solution Summary
This is a group theory proof regarding permutations and counting.
Education
- BSc, Manipur University
- MSc, Kanpur University
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