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Mathematics, 25.02.2020 22:57 nick5442

Let G be a group of order n that acts operates non-trivially on a set of size r. Prove that if n > r!, then G has a proper normal subgroup. (A proper subgroup of G is a subgroup that is neither trivial nor equal to G.)

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Let G be a group of order n that acts operates non-trivially on a set of size r. Prove that if n >...
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