A candidate for a solution to Wall's D(2) problem

Mathematics – Group Theory

Scientific paper

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This paper has been withdrawn by W.H.Mannan as the results are vacuous in light of the following: Def(*_p (C_p x C_p)) = -1, w

Scientific paper

We show that Wall's D(2) problem, the Realization problem and the Relation Gap problem could all be solved if it could be shown that the deficiency of a certain group is, as intuition would suggest, less than -1. Note the paper has been withdrawn. A presentation of *_p (C_p x C_p)with deficiency -1 is given on p35 of: Cynthia Hog-Angeloni, Beitrage zum (einfachen) homotopietyp zweidimensionaler komplexe zu freein produkten und anderen gruppentheoretischen konstruktionen : PhD thesis, Frankfurt/Main 1988

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