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Group Theory proof

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See the attached file.
Modern Algebra
Group Theory (CXII)
Groups of Order Power of a Prime
Another Counting Principle

If O(G) = p^n , p a prime number , and H ≠ G is a subgroup of G, show that there exists an x Є G, x does not belong to H such that x^(-1)Hx = H.

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Solution Summary

This shows how to work with a proof regarding groups of a given order.

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