منابع مشابه
On the Magnus-smelkin Embedding
The generalization of the Magnus embedding [7] proved by Smelkin [9] may be stated as follows. Let L be a free group freely generated by the set x^iel) , and let R be a normal subgroup of L with G = L/R. If V is any variety of groups and n is the F-free group with free generating set the symbols [g,xj (geG, iel), then L/V(R) is embedded in the semidirect product II xi G (where the action of G o...
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Building upon work of Y. Shalom we give a homological-algebra flavored definition of an induction map in group homology associated to a topological coupling. As an application we obtain that the cohomological dimension cdR over a commutative ring R satisfies the inequality cdR(Λ) ≤ cdR(Γ) if Λ embeds uniformly into Γ and cdR(Λ) < ∞ holds. Another consequence of our results is that the Hirsch ra...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2012
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s021819671240005x