Genus sets and SNT sets of certain connective covering spaces

Huale Huang, and Joseph Roitberg. "Genus sets and SNT sets of certain connective covering spaces." Fundamenta Mathematicae 195.2 (2007): 135-153. <http://eudml.org/doc/282960>.

@article{HualeHuang2007,
abstract = {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. $ℤ_p$, does the image of f have infinite, resp. uncountably infinite, index in Gl(n,A)?},
author = {Huale Huang, Joseph Roitberg},
journal = {Fundamenta Mathematicae},
keywords = {-connective covering; completion genus; Mislin genus},
language = {eng},
number = {2},
pages = {135-153},
title = {Genus sets and SNT sets of certain connective covering spaces},
url = {http://eudml.org/doc/282960},
volume = {195},
year = {2007},
}

TY - JOUR
AU - Huale Huang
AU - Joseph Roitberg
TI - Genus sets and SNT sets of certain connective covering spaces
JO - Fundamenta Mathematicae
PY - 2007
VL - 195
IS - 2
SP - 135
EP - 153
AB - 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. $ℤ_p$, does the image of f have infinite, resp. uncountably infinite, index in Gl(n,A)?
LA - eng
KW - -connective covering; completion genus; Mislin genus
UR - http://eudml.org/doc/282960
ER -