Finite p'-nilpotent groups. I.
Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Artemovych, O. (2002)
Serdica Mathematical Journal
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We characterize the groups which do not have non-trivial perfect sections and such that any strictly descending chain of non-“nilpotent-by-finite” subgroups is finite.
Vikas Bist (1991)
Publicacions Matemàtiques
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Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic zero.
Adolfo Ballester-Bolinches, James C. Beidleman, John Cossey, Hermann Heineken, María Carmen Pedraza-Aguilera (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Enrico Jabara (2006)
Matematički Vesnik
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Peter Hilton, Robert Militello (1992)
Publicacions Matemàtiques
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We identify two generalizations of the notion of a finitely generated nilpotent. Thus a nilpotent group G is fgp if Gp is fg as p-local group for each p; and G is fg-like if there exists a fg nilpotent group H such that Gp ≅ Hp for all p. The we have proper set-inclusions: {fg} ⊂ {fg-like} ⊂ {fgp}. We examine the extent to which fg-like nilpotent groups satisfy the axioms for...
E. Damian (2003)
Bollettino dell'Unione Matematica Italiana
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We study the generation of finite groups by nilpotent subgroups and in particular we investigate the structure of groups which cannot be generated by nilpotent subgroups and such that every proper quotient can be generated by nilpotent subgroups. We obtain some results about the structure of these groups and a lower bound for their orders.
Jutta Hausen (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Patrizia Longobardi, Mercede Maj, Avinoam Mann, Akbar Rhemtulla (1996)
Rendiconti del Seminario Matematico della Università di Padova
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