Displaying similar documents to “On the Mislin genus of certain circle bundles and noncancellation.”

On a theorem of Schur.

Hilton, Peter (2001)

International Journal of Mathematics and Mathematical Sciences

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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 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...

On induced morphism of Mislin genera.

Peter Hilton (1994)

Publicacions Matemàtiques

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Let N be a nilpotent group with torsion subgroup TN, and let α: TN → T' be a surjective homomorphism such that kerα is normal in N. Then α determines a nilpotent group Ñ such that TÑ = T' and a function α from the Mislin genus of N to that of Ñ in N (and hence Ñ) is finitely generated. The association α → α satisfies the usual functiorial conditions. Moreover [N,N] is finite if and only if [Ñ,Ñ] is finite and α is then a homomorphism of abelian groups. If Ñ belongs to the special class...

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.

Nil series from arbitrary functions in group theory

Ian Hawthorn (2018)

Commentationes Mathematicae Universitatis Carolinae

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In an earlier paper distributors were defined as a measure of how close an arbitrary function between groups is to being a homomorphism. Distributors generalize commutators, hence we can use them to try to generalize anything defined in terms of commutators. In this paper we use this to define a generalization of nilpotent groups and explore its basic properties.