Title: The integral cohomology ring of E_8/T^1 E_7

Author: Masaki Nakagawa 

AMS classification numbers: Primary:57T15; Secondary:55T10

Address of author: Department of General Education,  
                   Takamatsu National College of Technology, 
                   355 Chokushi-cho,  Takamatsu, 
                   761-8058, Japan
E-mail address of author: nakagawa@takamatsu-nct.ac.jp

Abstract:
The generalized flag manifolds are homogeneous spaces of the form G/C,
where G is a compact connected Lie group and C is the centralizer of a
torus in G.  These homogeneous spaces play an important role in
algebraic topology, algebraic geometry and differential geometry.  In
this paper, using the Borel presentation and a method due to Toda, we
determine the integral cohomology ring of a certain generalized flag
manifold which is a quotient space of the exceptional Lie group E8.