A candidate for a solution to Wall's D(2) problem
Group Theory
2009-01-12 v4
Abstract
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 Note the paper has been withdrawn.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
Keywords
Cite
@article{arxiv.0811.4628,
title = {A candidate for a solution to Wall's D(2) problem},
author = {W. H. Mannan},
journal= {arXiv preprint arXiv:0811.4628},
year = {2009}
}
Comments
This paper has been withdrawn by W.H.Mannan as the results are vacuous in light of the following: Def(*_p (C_p x C_p)) = -1, where the free product is taken over distinct primes p