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Daniel Soltész
Daniel Soltész
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Question: What is the most frequent order of subgroups of $S_n$? More precisely: Let $a_k$ be the number of subgroups of $S_n$ with order $k$. What is the maximum of $a_k$?

This question came up during a discussion of the open problem of determining the size of the largest antichain in the subgroup lattice of $S_n$.

Question: What is the most frequent order of subgroups of $S_n$?

This question came up during a discussion of the open problem of determining the size of the largest antichain in the subgroup lattice of $S_n$.

Question: What is the most frequent order of subgroups of $S_n$? More precisely: Let $a_k$ be the number of subgroups of $S_n$ with order $k$. What is the maximum of $a_k$?

This question came up during a discussion of the open problem of determining the size of the largest antichain in the subgroup lattice of $S_n$.

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Daniel Soltész
Daniel Soltész
  • 3k
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  • 35

Which subgroup order of the symmetric group is the most frequent?

Question: What is the most frequent order of subgroups of $S_n$?

This question came up during a discussion of the open problem of determining the size of the largest antichain in the subgroup lattice of $S_n$.