Displaying similar documents to “Structure and detection theorems for k [ C 2 × C 4 ] -modules”

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...

On certain classes of modules.

Kalathoor Varadarajan (1992)

Publicacions Matemàtiques

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Let be a class or R-modules containing 0 and closed under isomorphic images. With any such we associate three classes Γ, F and Δ. The study of some of the closure properties of these classes allows us to obtain characterization of Artinian modules dualizing results of Chatters. The theory of Dual Glodie dimension as developed by the author in some of his earlier work plays a crucial role in the present paper.