Localization and cohomology of nilpotent groups
Peter Hilton (1973)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Peter Hilton (1973)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Berthold J. Maier (1984)
Rendiconti del Seminario Matematico della Università di Padova
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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...
Patrizia Longobardi, Mercede Maj, Howard Smith (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Geok Choo Tan (1997)
Publicacions Matemàtiques
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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...
Temple H. Fay (1994)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Patrizia Longobardi, Mercede Maj, Avinoam Mann, Akbar Rhemtulla (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Delizia, Costantino, Nicotera, Chiara (2005)
International Journal of Mathematics and Mathematical Sciences
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Hilton, Peter, Militello, Robert (1996)
International Journal of Mathematics and Mathematical Sciences
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