A note on Irwin's conjecture (e.f.i. p-groups = thick p-groups)

摘要

We show that in the article of Cutler and Missel (1984) there is, in fact, an example of an essentially finitely indecomposable (e.f.i.) abelian p-group which is not thick, and which can be chosen even to be separable, thus answering once again in the negative Irwin's conjecture that the e.f.i. p-groups are precisely the thick ones and that was already resolved in Dugas and Irwin (1992).