Abstract
We compute the BP-homology and 2-local homology of the quotient complex BO(2)/BO(1) 2.Statement of Main Results........................1 3.The Stable Splitting of BO(2)....................3 4.The Brown-Peterson Homology of BO(2)/BO(1).......6 5.The 2-local Homology of BO(2)/BO(1).............13 References........................................17