The component Dyer–Lashof coalgebras as subcoalgebras of free unstable coalgebras

• Nondas E. Kechagias ^[1]
  1. [1] University of Ioannina

     University of Ioannina

     Dimos Ioánnina, Grecia

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 4 ((April 2015) ), 2015, págs. 839-863
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.05.022
• Enlaces
  • Texto completo
• Resumen

  • Let R[n] be the coalgebra of length n homology operations on infinite loop spaces. We compare R[n] with a cofree unstable coalgebra using its hom-dual image which is isomorphic to a subalgebra, SEDn, of the extended Dickson algebra EDn. SEDn is isomorphic to a subalgebra of a free unstable algebra on two generators. This result is related to the Peterson conjecture proven by Pengelley and Williams for the odd prime version of the classical Dickson algebra Dn