Groups in which every Lagrange subset is a factor

2025/04/15 by M. H. Hooshmand, Hooshmand, M. H., Stefan Kohl +1 · 1 citation
Mathematics · #20-04 #20B99 #Advanced Topology and Set Theory #FOS: Mathematics #Group Theory (math.GR) #Limits and Structures in Graph Theory #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2504.11503

openalex publication_date 2025/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the finite groups G in which every subset A ⊆ G of cardinality dividing the order of G is a factor, i.e. has a complement B ⊆ G of cardinality |G|/|A| such that G = A ⋅ B or G = B ⋅ A.

Cited by

• A Note on Lagrange Subsets of Finite Groups

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