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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…
math.GR2025
Groups with 5 nontrivial conjugacy classes of non self-normalizing subgroups are solvable
Maria Loukaki
For any nonnegative integer a family of groups, denoted by , was introduce by Bianchi et al., as the collection of all finite groups with exactly conjugacy…
math.GR2024
Counting in nilpotent injectors and Carter subgroups
Stefanos Aivazidis, Maria Loukaki, John Shareshian
We investigate number-theoretic properties of the collection of nilpotent injectors or nilpotent projectors containing certain subgroups of finite soluble (or -constr…