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• # Artykuł - szczegóły

## Fundamenta Mathematicae

2007 | 195 | 2 | 135-153

## Genus sets and SNT sets of certain connective covering spaces

EN

### Abstrakty

EN
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)?

135-153

wydano
2007

### Twórcy

autor
• IBM Global Services, Morristown, NJ, U.S.A.
• Citigroup, 283 King George Rd., Warren, NJ 07059, U.S.A.
autor
• Department of Mathematics & Statistics, Hunter College, CUNY, 695 Park Ave., New York, NY 10021, U.S.A.
• Ph.D. Program in Mathematics, The Graduate Center, CUNY, 365 Fifth Ave., New York, NY 10036, U.S.A.