The BP cohomology of elementary abelian groups

The BP cohomology of elementary abelian groups

In this paper we study E^*BV_k, where E=BP is a cohomology theory with coefficient ring F_p[v_m,...,v_n] (if m>0) or Z_(p)[v_1,...,v_n] (if m=0). We use ideas from the theory of multiple level structures, developed in earlier work of the author with John Greenlees. Our results apply when k is les...

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Veröffentlicht in:arXiv.org 2000-11
1. Verfasser: Strickland, Neil P
Format: Artikel
Sprache:eng
Schlagworte:
Group theory
Homology
Torsion
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Zusammenfassung:In this paper we study E^*BV_k, where E=BP is a cohomology theory with coefficient ring F_p[v_m,...,v_n] (if m>0) or Z_(p)[v_1,...,v_n] (if m=0). We use ideas from the theory of multiple level structures, developed in earlier work of the author with John Greenlees. Our results apply when k is less than or equal to w=n+1-m. If k
ISSN:2331-8422