Geodesic
On Ideals Annihilating the Toral Class of BP*((BZ/PK)N )
Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 332-343

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DOI

A sequence of ideals Ik,n ⊆ BP* is introduced, with the property: Ik,n ⊆ Ann(γk,n ), where γk,n is the toral class of the Brown-Peterson homology of the n-fold product BZ/pk × ··· × BZ/pk . These ideals seem to play an interesting and yet unclear role in understanding Ann(γk,n ). They are defined by using the formal group law of the Brown-Peterson spectrum BP, and some of their elementary properties are established. By using classical theorems of Landweber and of Ravenel-Wilson, the author computes the radicals of Ik,n and Ann(γk,n ), and discusses a few examples.
DOI : 10.4153/CMB-1993-046-6
Mots-clés : 55N20, Brown-Peterson spectrum, Annihilator ideals 
Nakos, George. On Ideals Annihilating the Toral Class of BP*((BZ/PK)N ). Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 332-343. doi: 10.4153/CMB-1993-046-6
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     title = {On {Ideals} {Annihilating} the {Toral} {Class} of {BP*((BZ/PK)N} )},
     journal = {Canadian mathematical bulletin},
     pages = {332--343},
     year = {1993},
     volume = {36},
     number = {3},
     doi = {10.4153/CMB-1993-046-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-046-6/}
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