Partial converses to lagrange's theorem. II

DOI10.1080/00927878108822560zbMath0452.20027OpenAlexW4241932233MaRDI QIDQ3898663

Ruth Rebekka Struik

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00927878108822560

zbMATH Keywords

Lagrange's theoreminverse Lagrange property

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07)

Related Items (6)

The order of groups satisfying a converse to Lagrange's theorem ⋮ CLT-groups with Hall S-quasinormally embedded subgroups. ⋮ CLT-groups with normal or abnormal subgroups. ⋮ On Hall subnormally embedded and generalized nilpotent groups. ⋮ Converse of Lagrange's theorem (CLT) numbers under $1000$ ⋮ A Note on CLT-Groups

Cites Work

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• Die Ordnungen, zu denen nur Gruppen mit gegebener Eigenschaft gehören
• Sylow's theorem is a sharp partial converse to Lagrange's theorem
• The Sylow 2-subgroups of the finite classical groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Partial converses to lagrange's theorem
• The Factorization of the Cyclotomic Polynomials mod p

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