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Exhibition of normal distribution in finite p-groups
Suppose that G is a group of order m p and n ≤ m. Let Sn(G) be the number of subgroups of order p n in G. Then, the number of subgroups of order pn is normally distributed with respect to n, where n is a positive integer.
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2017
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| Summary: | Suppose that G is a group of order m p and n ≤ m. Let Sn(G) be the number of subgroups of order p n in G. Then, the number of subgroups of order pn is normally distributed with respect to n, where n is a positive integer. |
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