6533b7d0fe1ef96bd125acb0

RESEARCH PRODUCT

Der Satz von Tits für PGL2(R), R ein kommutativer Ring vom stabilen Rang 2

Armin Herzer

subject

CombinatoricsProjective lineField (mathematics)Geometry and TopologyAlgebraic geometryCommutative ringPermutation groupRank (differential topology)MathematicsProjective geometry

description

Certain permutation groups on sets with distance relation are characterized as groups of projectivities PGL2(R) on the projective line over a commutative ring R of stable rank 2, thus generalizing a classical result of Tits where R is a field.

https://doi.org/10.1007/bf00147809