4 citations · 4 across the 1 of their papers we have counts for
4 papers
A number-theoretic approach to homotopy exponents of SU(n)
Donald M. Davis, Zhi-Wei Sun
We use methods of combinatorial number theory to prove that, for each and any prime , some homotopy group contains an element of order …
From Representation Theory to Homotopy Groups
Donald M. Davis
Bousfield recently gave a formula for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations. We apply Bousfield's theorem to…
3-primary v1-periodic homotopy groups of E7
Donald M. Davis
We compute the 3-primary v1-periodic homotopy groups of the exceptional Lie group E7. Now E8 at the primes 3 and 5 is the only compact simple Lie group whose odd-primary v1-periodi…
Some new embeddings and nonimmersions of real projective spaces
Donald M. Davis, Vitaly Zelov
We use obstruction theory to prove that if alpha(n)=2, then RP^{16n+8} cannot be immersed in R^{32n+3} and RP^{16n+10} cannot be immersed in R^{32n+11}, and that if alpha(n)>2, the…