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Central extensions of rank 2 groups and applications
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Tom De Medts
Published/Copyright:
January 30, 2009
Abstract
We show that the universal central extensions of the little projective group of any Moufang polygon is precisely the Steinberg group obtained from its defining commutator relations, provided the defining structure is not too small. As an application, we get that also the universal central extensions of the little projective group of any 2-spherical Moufang twin building is precisely the Steinberg group obtained from its defining commutator relations.
Received: 2006-08-28
Revised: 2007-05-17
Published Online: 2009-01-30
Published in Print: 2009-January
© de Gruyter 2009
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Articles in the same Issue
- Central extensions of rank 2 groups and applications
- Generating abelian groups by addition only
- Intrinsic ultracontractivity for non-symmetric Lévy processes
- K-Theory of non-linear projective toric varieties
- Wakamatsu tilting modules with finite FP-injective dimension
- The catenary and tame degree of numerical monoids
- On extending Prüfer rings in central simple algebras
- Geometry of the cone of positive quadratic forms
