id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
hd76rx9419z	Phillip Jedlovec	Hopf Rings and the Ando-Hopkins-Strickland Theorem	1904		.txt	text/plain	148	4	42	In particular, we prove that the so-called symmetry and cocycle relations hold in the E-homology of BU<2k> for any complex-orientable E and that these relations are the defining relations whenever E=HQ or k=1, 2, or 3. This new proof avoids the algebro-geometric perspective of Ando, Hopkins, and Strickland and instead uses the work of Ravenel, Wilson, and Yagita on the unstable homology of the truncated Brown-Peterson spectra, as well as the relationship between these spectra and BU<2k>.	cache/hd76rx9419z.txt	txt/hd76rx9419z.txt