We study the genus and SNT sets of connective covering spaces of familiar finite CW-complexes, both of rationally elliptic type (e.g. quaternionic projective spaces) and of rationally hyperbolic type (e.g. one-point union of a pair of spheres). In connection with the latter situation, we are led to an independently interesting question in group theory: if f is a homomorphism from Gl(ν,A) to Gl(n,A), ν < n, A = ℤ, resp. , does the image of f have infinite, resp. uncountably infinite, index in Gl(n,A)?
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm195-2-3,
author = {Huale Huang and Joseph Roitberg},
title = {Genus sets and SNT sets of certain connective covering spaces},
journal = {Fundamenta Mathematicae},
volume = {193},
year = {2007},
pages = {135-153},
zbl = {1129.55006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm195-2-3}
}
Huale Huang; Joseph Roitberg. Genus sets and SNT sets of certain connective covering spaces. Fundamenta Mathematicae, Tome 193 (2007) pp. 135-153. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm195-2-3/