Subgroup growth
In mathematics, subgroup growth is a branch of group theory, dealing with quantitative questions about subgroups of a given group. Let G be a finitely generated group. Then, for each integer n define n(G) to be the number of subgroups U of index n in G. Similarly, if G is a topological group, s_n(G) denotes the number of open subgroups U of index n in G. One similarly defines m_n(G) and to denote the number of maximal and normal subgroups of index n, respectively.
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Subgroup growth
In mathematics, subgroup growth is a branch of group theory, dealing with quantitative questions about subgroups of a given group. Let G be a finitely generated group. Then, for each integer n define n(G) to be the number of subgroups U of index n in G. Similarly, if G is a topological group, s_n(G) denotes the number of open subgroups U of index n in G. One similarly defines m_n(G) and to denote the number of maximal and normal subgroups of index n, respectively.
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In mathematics, subgroup growt ...... romov's notion of word growth.
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In mathematics, subgroup growt ...... oups of index n, respectively.
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Subgroup growth
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