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math.GR2026
Some answers regarding factorizations of finite groups
Ryan McCulloch
In this note we answer some questions of G. M. Bergman concerning factorizations of finite groups. Such questions originated when M. H. Hooshmand asked whether, given a finite grou…
math.GR2026
An answer regarding automorphisms of finite abelian groups
Ryan McCulloch
In this note we provide a negative answer to the question: ``Is it true that for every positive rational number there exists a finite abelian group such that $|\mathrm{Aut}…