Groups with multiplicative subgroup growth

DOI10.1007/BF02809896zbMath0994.20026MaRDI QIDQ5935805

Jan-Christoph Schlage-Puchta

Publication date: 30 June 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

subgroups of finite indexsubgroup growthfinitely generated profinite groupsnumbers of subgroupspronilpotent groupsprosolvable groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Rate of growth of arithmetic functions (11N56) Limits, profinite groups (20E18)

Related Items (2)

A formula for the normal subgroup growth of Baumslag–Solitar groups ⋮ Weakly multiplicative arithmetic functions and the normal growth of groups

Cites Work

• Die Ordnungen, zu denen nur Gruppen mit gegebener Eigenschaft gehören
• Subgroups of finite index in nilpotent groups
• Endliche Gruppen I
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