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math.GR2026
A simultaneous variant of the Hall-Paige theorem and applications
Maria Loukaki
For , we say that a finite group satisfies property if, for every , there exists a bijection of such th…
math.GR2026
Three subgroup common transversal in abelian groups
Maria Loukaki, Emmanouil Spyridakis
We completely characterize when three equal-order subgroups of a finite abelian group share a common transversal. Consequently, we determine when three full-rank lattices of equal…