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Flag transitive c.F4 (2)-geometries.

Authors :
Stroth, Gemot
Source :
Advances in Geometry; 2012, Vol. 12 Issue 4, p703-715, 13p, 2 Charts
Publication Year :
2012

Abstract

This paper contributes to the classification of flag transitive cF<subscript>4</subscript>-geometries. Here, under some mild extra conditions, we determine those geometries in which the point-residue is a building of type F<subscript>4</subscript>(2) and we show that the automorphism groups are ²2E<subscript>6</subscript>(2) : 2 or 3.²E<subscript>6</subscript>(2) : 2 orE<subscript>6</subscript>(2):2 or 2<superscript>26</superscript> : F<subscript>4</subscript>(2). This work was started by Corinna Wiedorn. In this paper we follow her ideas and just show that the corresponding amalgams are uniquely determined. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
1615715X
Volume :
12
Issue :
4
Database :
Complementary Index
Journal :
Advances in Geometry
Publication Type :
Academic Journal
Accession number :
83820861
Full Text :
https://doi.org/10.1515/advgeom-2012-0013