Minimal dimensions for flat manifolds with prescribed holonomy

DOI10.1007/BF01442498zbMath0648.57017MaRDI QIDQ1105238

Wilhelm Plesken

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164566

zbMATH Keywords

fixed point free crystallographic space groupminimal dimensions of compact connected flat Riemannian manifolds with given holonomy groupp- adic completions of the space groups

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30) Reflection groups, reflection geometries (51F15)

Related Items (6)

Holonomy groups of Bieberbach groups with finite outer automorphism groups ⋮ On torsion free crystallographic groups ⋮ PRO-pGROUPS OF FINITE WIDTH ⋮ Isospectral compact flat manifolds ⋮ Problems on Bieberbach groups and flat manifolds ⋮ Minimal dimensions for flat manifolds with prescribed holonomy

Cites Work

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• Über modulare Darstellungen endlicher Gruppen, die von freien Gruppen induziert werden
• EUCLIDEAN SPACE FORMS WITH THE FIRST BETTI NUMBER EQUAL TO ZERO
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0, II
• Simple Components of Q[SL(2,q)]

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