### 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 G_{p} is fg as p-local group for each p; and G is fg-like if there exists a fg nilpotent group H such that G_{p} ≅ H_{p} 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 $n$ nilpotent subgroups and such that every proper quotient can be generated by $n$ 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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