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Genus sets and SNT sets of certain connective covering spaces

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Huang H., Roitberg J.

Fundamenta Mathematicae

2007

tom 195

nr 2

135-153

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)?

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Huang H.

1 Roitberg J.

1 2007

Wyniki wyszukiwania

Genus sets and SNT sets of certain connective covering spaces