Mod Decomposition of -spaces of Low Rank

  • Yutaka Hemmi

    Kochi University, Japan
  • Hirokazu Nishinobu

    Kochi University, Japan

Abstract

Let be a mod -space such that the mod cohomology is an exterior algebra generated by finitely many generators of degree with . It is known that if then decomposes to a product of odd spheres, and if then decomposes to a product of odd spheres and s. In the paper we consider the case of , and give a product decomposition of to irreducible factors.

Cite this article

Yutaka Hemmi, Hirokazu Nishinobu, Mod Decomposition of -spaces of Low Rank. Publ. Res. Inst. Math. Sci. 52 (2016), no. 2, pp. 207–221

DOI 10.4171/PRIMS/178