Let G be a finite group, and let H be a M be a subgroup of...

Question

Question

Let G be a finite group, and let H be a M be a subgroup of G such that H C M C G. What are the possible orders for M? Why? Le

Answer 1

Answer #1

let 1GI - n, and get Lel JAT = m theoce m So á ince Thereforre G and 07der of )M 8 divjsor of So t& - S5, > N GC Ja o D 5 rao

Answer 2

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