Localization and cohomology of nilpotent groups

Peter Hilton

The search session has expired. Please query the service again.

Displaying similar documents to “Localization and cohomology of nilpotent groups”

Some remarks on almost finitely generated nilpotent groups.

Peter Hilton, Robert Militello (1992)

Publicacions Matemàtiques

Similarity:

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...

On almost finitely generated nilpotent groups.

Hilton, Peter, Militello, Robert (1996)

International Journal of Mathematics and Mathematical Sciences

Similarity:

On a theorem of Schur.

Hilton, Peter (2001)

International Journal of Mathematics and Mathematical Sciences

Similarity:

P-nilpotent completion is not idempotent.

Geok Choo Tan (1997)

Publicacions Matemàtiques

Similarity:

Let P be an arbitrary set of primes. The P-nilpotent completion of a group G is defined by the group homomorphism η: G → G where G = inv lim(G/ΓG). Here ΓG is the commutator subgroup [G,G] and ΓG the subgroup [G, ΓG] when i > 2. In this paper, we prove that P-nilpotent completion of an infinitely generated free group F does not induce an isomorphism on the first homology group with Z coefficients. Hence, P-nilpotent completion is not idempotent. Another important consequence of...

On Dye's condition in nilpotent groups of class 2

Ernest Płonka (1974)

Colloquium Mathematicae

Similarity:

Nil series from arbitrary functions in group theory

Ian Hawthorn (2018)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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.

Travaux de Zink

William Messing (2005-2006)

Séminaire Bourbaki

Similarity:

The diverse Dieudonné theories have as their common goal the classification of formal groups and $p$ -divisible groups. The most recent theory is Zink’s theory of displays. A display over a ring R is a finitely generated projective module over the ring of Witt vectors, $W (R)$ , equipped with additional structures. Zink has shown that using this notion, more concrete than those previously defined, one can obtain a good theory and prove an equivalence theorem in great generality. I will give an...

Characterisation of finitely generated soluble finite-by-nilpotent groups

Ali Boukaroura (2004)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

On induced morphism of Mislin genera.

Peter Hilton (1994)

Publicacions Matemàtiques

Similarity:

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...

On variants of a theorem of Schur.

Hilton, Peter (2005)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Group rings with FC-nilpotent unit groups.

Vikas Bist (1991)

Publicacions Matemàtiques

Similarity:

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.