Equations in groups, with special emphasis on localization and torsion - II

Ribenboim, P.

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

Displaying similar documents to “Equations in groups, with special emphasis on localization and torsion - II”

Localization and cohomology of nilpotent groups

Peter Hilton (1973)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Similarity:

Amalgams of torsion-free nilpotent groups of class three

Berthold J. Maier (1984)

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...

Groups in which the derived groups of all 2-generator subgroups are cyclic

Patrizia Longobardi, Mercede Maj, Howard Smith (2006)

Rendiconti del Seminario Matematico della Università di Padova

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...

Remarks on the Mal'cev completion of torsion-free locally nilpotent groups

Temple H. Fay (1994)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Similarity:

Groups with many nilpotent subgroups

Patrizia Longobardi, Mercede Maj, Avinoam Mann, Akbar Rhemtulla (1996)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

On the power-commutative kernel of locally nilpotent groups.

Delizia, Costantino, Nicotera, Chiara (2005)

International Journal of Mathematics and Mathematical Sciences

Similarity:

On almost finitely generated nilpotent groups.

Hilton, Peter, Militello, Robert (1996)

International Journal of Mathematics and Mathematical Sciences

Similarity: