Characterization of abelian-by-cyclic 3-rewritable groups
A. Abdollahi, A. Mohammadi Hassanabadi (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On the lengths of bases of a finitely generated abelian group.”
Characterization of abelian-by-cyclic 3-rewritable groups
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It is a known result that if a finite abelian group of odd order is a direct product of lacunary cyclic subsets, then at least one of the factors must be a subgroup. The paper gives an elementary proof that does not rely on characters.
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A Hajós-type result on factoring finite Abelian groups by subsets.
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An elementary class extending abelian-by- groups, for infinite
Carlo Toffalori (1996)
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We show that for no infinite group the class of abelian-by- groups is elementary, but, at least when is an infinite elementary abelian -group (with prime), the class of groups admitting a normal abelian subgroup whose quotient group is elementarily equivalent to is elementary.
On -groups with abelian automorphism group
Marta Morigi (1994)
Rendiconti del Seminario Matematico della Università di Padova
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