\(|\Hom(A,G)|\). IV

DOI10.1006/JABR.2001.9004zbMath1025.20009OpenAlexW4213177016MaRDI QIDQ5957525

Tsunenobu Asai, Yugen Takegahara

Publication date: 16 September 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9004

zbMATH Keywords

finite groupsSylow subgroupscyclic subgroupsnumbers of homomorphisms

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of infinite groups (20E36)

Related Items (8)

On the number of epi-, mono- and homomorphisms of groups ⋮ Crossed homomorphisms from rank-2 Abelian to exceptional \(p\)-groups. ⋮ Hall's relations in finite groups. ⋮ Unnamed Item ⋮ Galois averages ⋮ The number of subgroups of a finite group (II) ⋮ What do Frobenius's, Solomon's, and Iwasaki's theorems on divisibility in groups have in common? ⋮ How many tuples of group elements have a given property? With an appendix by Dmitrii V. Trushin

Cites Work

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• \(|\Hom(A,G)|\). II.
• \(|\Hom(A,G)|\).
• Artin exponent of finite groups
• Über die Anzahl der eigentlichen Untergruppen und der Elemente von gegebener Ordnung in \(p\)-Gruppen
• On the number of \(p\)-subgroups of a finite group
• On the number of crossed homomorphisms
• A Contribution to the Theory of Groups of Prime-Power Order

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