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math.GR2026
On the complement of a union of cosets
Benjamin Sambale
Let be left cosets of subgroups of a group whose union is a proper subset of . We prove that is the union of at most left translates of…
math.GR2026
Groups satisfying Gaschütz's complement theorem
Stefanos Aivazidis, Benjamin Sambale
A classical theorem of Gaschütz states that an abelian normal subgroup N of a finite group G has a complement in G whenever it has a complement in some subgroup H with $N \leq H \l…