Abstract. A representation of the Baer subgeometries of $PG(n,q^2)$ in $PG(2n+1,q)$ is given. Using this representation the possible intersection configurations of two Baer subgeometries are determined.

AMS Subject Classification (1991): 51E20, 05B25, 51E23

Received September 17, 2002, and in revised form April 22, 2003. (Registered under 2905/2009.)