Let G be a group of order p k m, with p prime and (p,m) = 1.
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Let G be a group of order pkm, with p prime and (p,m) = 1. Let H be a subgroup of order pk and K a subgroup of order pd, with O < d ≤ k and K ⊄ H. Show that HK is not a subgroup of G.
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ANSWER To prove that HK is not a subgroup of G we need to show that it violates at least one of the conditions for being a subgroup which are The iden...View the full answer
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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