Finite p'-nilpotent groups. II.
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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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.
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.
Lewis, Robert H., Moore, Guy D. (1997)
Experimental Mathematics
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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...
Hilton, Peter (2001)
International Journal of Mathematics and Mathematical Sciences
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Ernest Płonka (1974)
Colloquium Mathematicae
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Matematički Vesnik
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Rendiconti del Seminario Matematico della Università di Padova
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Rendiconti del Seminario Matematico della Università di Padova
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Colloquium Mathematicae
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J.K. Truss, E.K. Burke (1995)
Forum mathematicum
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