Abstract:
We introduce a new model for the secondary Steenrod algebra
at the prime 2
which is both smaller and more accessible than the
original construction of H.-J. Baues.
We also explain how BP can be used to
define a variant of
the secondary Steenrod algebra at odd primes.
(Published in Volume 18 of the New York Journal of Mathematics.)
Abstract: My PhD thesis. It develops an improved method for the computation of the minimal resolution of the Steenrod algebra. The algorithm is based on some well-known vanishing theorems for the cohomology of its sub Hopf algebras.
Abstract: We show how the non-commutativity of P(n) for p=2 leads to complications in the algebra of cooperations P(n)*P(n).
Abstract:My diploma thesis.