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• # Artykuł - szczegóły

## Fundamenta Mathematicae

2005 | 185 | 3 | 247-259

## Anosov theorem for coincidences on nilmanifolds

EN

### Abstrakty

EN
Suppose that L, L' are simply connected nilpotent Lie groups such that the groups $γ_i(L)$ and $γ_i(L')$ in their lower central series have the same dimension. We show that the Nielsen and Lefschetz coincidence numbers of maps f,g: Γ∖L → Γ'∖L' between nilmanifolds Γ∖L and Γ'∖L' can be computed algebraically as follows:
L(f,g) = det(G⁎ - F⁎), N(f,g) = |L(f,g)|,
where F⁎, G⁎ are the matrices, with respect to any preferred bases on the uniform lattices Γ and Γ', of the homomorphisms between the Lie algebras 𝔏, 𝔏' of L, L' induced by f,g.

247-259

wydano
2005

### Twórcy

autor
• Department of Mathematics, Sogang University, Seoul 121-742, Korea
autor
• Department of Mathematics, Sogang University, Seoul 121-742, Korea