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On Ideals Annihilating the Toral Class of BP*((BZ/PK)N)

Published online by Cambridge University Press:  20 November 2018

George Nakos
George Nakos*
Affiliation:
Department of Mathematics U.S. Naval Academy Annapolis, Maryland U.S.A.
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Abstract

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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.

Keywords

55N20Brown-Peterson spectrumAnnihilator ideals
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 3 , 01 September 1993 , pp. 332 - 343
Copyright
Copyright © Canadian Mathematical Society 1993

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