On groups of odd order admitting an elementary 2-group of automorphisms

Karise G. Oliveira; Pavel Shumyatsky; Carmela Sica

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Mutually permutable products of two nilpotent groups

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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Finite groups admitting some coprime operator groups

Enrico Jabara (2006)

Matematički Vesnik

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Group rings with FC-nilpotent unit groups.

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.

Some remarks on almost finitely generated nilpotent groups.

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...