hw6 - b )( k ) = k-1 for all k K and let G = K o H . Prove...

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Math 5125 Friday, September 30 Sixth Homework Due 9:05 a.m., Wednesday October 5 1. Let K be a cyclic group of order 6 and let H be a cyclic group of order 4, say H = h b i . Define a homomorphism φ : H Aut ( K ) by ( φ
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Unformatted text preview: b )( k ) = k-1 for all k K and let G = K o H . Prove that G has presentation h x , y | x 6 = y 4 = 1 , yxy-1 = x-1 i . (4 points) (1 problem, 4 points altogether)...
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This note was uploaded on 01/02/2012 for the course MATH 5125 taught by Professor Palinnell during the Fall '07 term at Virginia Tech.

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