FC-nilpotent products of hypercentral groups.
B. AMBERG, S. Franciosi, F. Giovanni (1995)
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B. AMBERG, S. Franciosi, F. Giovanni (1995)
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Elisabeth A. Pennington (1973)
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A.L. Carey, W. Moran, C.E.M. Pearce (1995)
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Ernest Płonka (1974)
Colloquium Mathematicae
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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...
Ernest Plonka (1979)
Mathematische Annalen
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D. Segal, F.J. Grunewald, L.S. Sterling (1982)
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Artemovych, O. (2002)
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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.
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Mathematische Zeitschrift
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Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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J.K. Truss, E.K. Burke (1995)
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John S. Rose (1968)
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