Relations between kernels and images of reduced powers for some right Ap-modules
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Published:2018
Issue:117
Volume:103
Page:191-198
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ISSN:0350-1302
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Container-title:Publications de l'Institut Math?matique (Belgrade)
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language:en
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Short-container-title:Publ Inst Math (Belgr)
Affiliation:
1. Moscow State Lomonosov University, Department of Mechanics and Mathematics, Moscow, Russia
Abstract
We investigate the right action of the mod p Steenrod algebra Ap on the
homology H*(L^s,Zp) where L=BZp is the lens space. Following ideas of
Ault and Singer we investigate the relation between intersection of kernels
of the reduced powers Ppi and Bockstein element ? and the intersection
of images of Ppi+1?1 and of ?. Namely one can check that ?ki=0 imPpi+1?1 ?
?ki=0 ker Ppi and ?ki=0 imPpi+1?1 ? im? ? ?k i=0 ker Ppi ? ker ?.
We generalize Ault?s homotopy systems to p > 2 and examine when the reverse inclusions are true.
Publisher
National Library of Serbia
Subject
General Mathematics