Displaying similar documents to “Cotorsion-free algebras as endomorphism algebras in L - the discrete and topological cases”

Relation modules of infinite groups, II

Martin Evans (2014)

Open Mathematics

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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 R ¯ and S ¯ denote the associated relation modules of G. It is well known that R ¯ ( G ) d ( G ) S ¯ ( G ) d ( G ) 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...