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- Subgroup_growth abstract "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.Subgroup growth studies these functions, their interplay, and the characterization of group theoretical properties in terms of these functions.The theory was motivated by the desire to enumerate finite groups of given order, and the analogy with Mikhail Gromov's notion of word growth.".
- Subgroup_growth wikiPageID "1198268".
- Subgroup_growth wikiPageRevisionID "580818126".
- Subgroup_growth hasPhotoCollection Subgroup_growth.
- Subgroup_growth subject Category:Infinite_group_theory.
- Subgroup_growth subject Category:Zeta_and_L-functions.
- Subgroup_growth comment "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.".
- Subgroup_growth label "Subgroup growth".
- Subgroup_growth sameAs m.04gl9s.
- Subgroup_growth sameAs Q7631153.
- Subgroup_growth sameAs Q7631153.
- Subgroup_growth wasDerivedFrom Subgroup_growth?oldid=580818126.
- Subgroup_growth isPrimaryTopicOf Subgroup_growth.