English

Ossa's Theorem via the Kunneth formula

Algebraic Topology 2010-08-03 v1

Abstract

Let pp be a prime. We calculate the connective unitary K-theory of the smash product of two copies of the classifying space for the cyclic group of order pp, using a K\"{u}nneth formula short exact sequence. As a corollary, using the Bott exact sequence and the mod 22 Hurewicz homomorphism we calculate the connective orthogonal K-theory of the smash product of two copies of the classifying space for the cyclic group of order two.

Keywords

Cite

@article{arxiv.1008.0166,
  title  = {Ossa's Theorem via the Kunneth formula},
  author = {Robert Bruner and Khairia Mira and Laura Stanley and Victor Snaith},
  journal= {arXiv preprint arXiv:1008.0166},
  year   = {2010}
}

Comments

9 pages

R2 v1 2026-06-21T15:55:39.236Z