Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Intransitive geometries and fused amalgams
-
Ralf Gramlich
Veröffentlicht/Copyright:
16. Juli 2008
Abstract
We study geometries that arise from the natural G2(
) action on the geometry of one-dimensional subspaces, of non-singular two-dimensional subspaces, and of non-singular three-dimensional subspaces of the building geometry of type C3(), where is a perfect field of characteristic 2. One of these geometries is intransitive in such a way that the non-standard geometric covering theory from [R. Gramlich and H. Van Maldeghem. Intransitive geometries. Proc. London Math. Soc. (2) 93 (2006), 666–692.] is not applicable. In this paper we introduce the concept of fused amalgams in order to extend the geometric covering theory so that it applies to that geometry. This yields an interesting new amalgamation result for the group G2().
Received: 2007-01-31
Revised: 2007-09-17
Published Online: 2008-07-16
Published in Print: 2008-July
© de Gruyter 2008
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Intransitive geometries and fused amalgams
- On intersections of classical groups
- A characterization of Aut(G2(3))
- The expected order of a random unitary matrix
- On the exponent semigroups of finite p-groups
- On hypercentral factor groups from certain classes
- Local characterization of non-finitary locally finite simple groups
- Less than continuum many translates of a compact nullset may cover any infinite profinite group
- Hausdorff dimension of some groups acting on the binary tree
- The mean Dehn functions of abelian groups
Artikel in diesem Heft
- Intransitive geometries and fused amalgams
- On intersections of classical groups
- A characterization of Aut(G2(3))
- The expected order of a random unitary matrix
- On the exponent semigroups of finite p-groups
- On hypercentral factor groups from certain classes
- Local characterization of non-finitary locally finite simple groups
- Less than continuum many translates of a compact nullset may cover any infinite profinite group
- Hausdorff dimension of some groups acting on the binary tree
- The mean Dehn functions of abelian groups
