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arXiv · 2504.11503

Groups in which every Lagrange subset is a factor

M. H. Hooshmand·Stefan Kohl
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Abstract

We determine the finite groups $G$ in which every subset $A \subseteq G$ of cardinality dividing the order of $G$ is a \emph{factor}, i.e. has a complement $B \subseteq G$ of cardinality $|G|/|A|$ such that $G = A \cdot B$ or $G = B \cdot A$.

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M. H. Hooshmand, Stefan Kohl. 2025-04-15. Groups in which every Lagrange subset is a factor. https://doi.org/10.22108/ijgt.2025.144957.1957

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