The 19 and 20-th Homotopy Groups of the Rotation Groups Rn

Hideyuki Kachi, Juno Mukai
We determine the group structures of the homotopy groups of the rotation groups π k (R n ) for k = 19 and 20. The main tool of the computaion is the homotopy exact sequence aociated with the fibration R n+1 /R n = S n .
doi:10.18926/mjou/33289 fatcat:m6uvrqpkkfcfhccefbccc3wjym