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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A. Abdollahi, A. Mohammadi Hassanabadi (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Howard Smith, James Wiegold (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Peter Hilton, Dirk Scevenels (1997)
Publicacions Matemàtiques
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We study the realizability of finite abelian groups as Mislin genera of finitely generated nilpotent groups with finite commutator subgroup. In particular, we give criteria to decide whether a finite abelian group is realizable as the Mislin genus of a direct product of nilpotent groups of a certain specified type. In the case of a positive answer, we also give an effective way of realizing that abelian group as a genus. Further, we obtain some non-realizability results.
Martin D. Burrow, Arthur Steinberg (1989)
Compositio Mathematica
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Patrizia Longobardi, Mercede Maj, Stewart Stonehewer (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Sándor Szabó (2010)
Discussiones Mathematicae - General Algebra and Applications
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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.
Abel, R.Julian R., Combe, Diana, Nelson, Adrian M., Palmer, William D. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Giorgio Busetto, Federico Menegazzo (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Marta Morigi (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Rendiconti del Seminario Matematico della Università di Padova
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