The number of subgroups of a finite group.

DOI10.1006/jabr.1999.8252zbMath1113.20303OpenAlexW2089413427MaRDI QIDQ1569824

Yugen Takegahara

Publication date: 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8252

zbMATH Keywords

finite groupssubgroups of finite indexfinitely generated groupsSylow subgroupsnumbers of subgroupsnumbers of homomorphisms

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05)

Related Items (1)

The number of subgroups of a finite group (II)

Cites Work

• \(|\Hom(A,G)|\). II.
• Idempotents of Burnside rings and Dress induction theorem
• \(|\Hom(A,G)|\).
• On the Frobenius numbers of symmetric groups
• A Unimodality Result in the Enumeration of Subgroups of a Finite Abelian Group
• A Contribution to the Theory of Groups of Prime-Power Order

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