For each prime [italic]p there is a 'lambda algebra' which serves, among other things, as an [italic]E₁ term for the (stable or unstable) Adams spectral sequence. This paper describes algorithms and programs for computing the homology of these algebras using a mainframe computer…
A decomposition is given of the S-type of the classifying spaces of the classical groups. This decomposition is in terms of Thom spaces and by means of it cobordism groups are embedded into the stable homotopy of classifying spaces. This is used to show that each of the classica…
There is a homomorphism from the stable homotopy of the classifying space of the group of units in a ring to its algebraic [italic]K-theory. When the ring has enough roots of unity a "Bott element" exists in these groups (taken with coefficients). We compute the groups obtained …
