Let G be a simple group of order 168. What is the number of subgroups of G of order 7? a. 1 b. 7 c. 8 d. 28
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Step 1
A simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself. The order of a group is the number of its elements. In this case, we have a simple group G of order 168. Step 2: Apply Sylow's Theorems. Sylow's Theorems Show more…
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