Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Almost-Bieberbach groups with prime order holonomy

100%

Dekimpe K., Malfait W.

Fundamenta Mathematicae

1996

tom 151

nr 2

167-176

The main issue of this paper is an attempt to find a decomposition theorem for infra-nilmanifolds in the same spirit as a result of A. Vasquez for flat Riemannian manifolds. That is: we look for infra-nilmanifolds with prime order holonomy which can be obtained as a fiber space with a non-trivial nilmanifold as fiber and an infra-nilmanifold as its base. In this perspective, we prove the following algebraic result: if E is an almost-Bieberbach group with prime order holonomy, then there is a normal subgroup Π of E contained in the Fitting subgroup of E such that E/Π is an almost-Bieberbach group either having a Fitting subgroup with center isomorphic to the infinite cyclic group, or having an underlying crystallographic group with torsion and a center coinciding with that of its Fitting subgroup.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Dekimpe K.

1 Malfait W.

1 1996

Wyniki wyszukiwania

Almost-Bieberbach groups with prime order holonomy