On filled soluble groups

DOI10.1080/00927872.2018.1459645zbMath1398.20030OpenAlexW2799782523MaRDI QIDQ4689821

Chimere Stanley Anabanti

Publication date: 22 October 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1459645

zbMATH Keywords

sum-free setsproduct-free setsfilled groupsmaximal by inclusion

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (5)

Three questions of Bertram on locally maximal sum-free sets ⋮ Unnamed Item ⋮ Groups containing locally maximal product-free sets of size 4 ⋮ Filled groups of order pqr for primes p; q and r ⋮ On the three questions of Bertram on locally maximal sum-free sets

Cites Work

• Large product-free subsets of finite groups
• Group Ramsey theory
• Sum-free sets in abelian groups
• Groups containing small locally maximal product-free sets
• Product-Free Subsets of Groups
• On a conjecture of Street and Whitehead on locally maximal product-free sets
• Maximal sum-free sets of elements of finite groups

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