A note on basic free modules and the condition.
Marcelo, Agustín, Marcelo, Félix, Rodríguez, César (2006)
Portugaliae Mathematica. Nova Série
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Displaying similar documents to “A stably free nonfree module and its relevance for homotopy classification, case .”
A note on basic free modules and the condition.
Relation modules of infinite groups, II
Martin Evans (2014)
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Let F n denote the free group of rank n and d(G) the minimal number of generators of the finitely generated group G. Suppose that R ↪ F m ↠ G and S ↪ F m ↠ G are presentations of G and let and denote the associated relation modules of G. It is well known that even though it is quite possible that . However, to the best of the author’s knowledge no examples have appeared in the literature with the property that . Our purpose here is to exhibit, for each integer k ≥ 1, a group G...
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We give homological conditions on groups such that whenever the conditions hold for a group G, there is a bound on the orders of finite subgroups of G. This extends a result of P. H. Kropholler. We also suggest a weaker condition under which the same conclusion might hold.