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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On root invariants of periodic classes in $ {\rm Ext}\sb A({\bf Z}/2,{\bf Z}/2)$


Author: Paul Shick
Journal: Trans. Amer. Math. Soc. 301 (1987), 227-237
MSC: Primary 55T15; Secondary 55S10
MathSciNet review: 879570
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Abstract: We prove that if a class in the cohomology of the mod 2 Steenrod algebra is $ \operatorname{mod}\,2$-periodic in the sense of [10], then its root invariant must be $ {\upsilon _{n + 1}}$-periodic, where $ {\upsilon _{n}}$ denotes the $ n$th generator of $ {\pi _ \ast }({\text{BP}})$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0879570-3
PII: S 0002-9947(1987)0879570-3
Article copyright: © Copyright 1987 American Mathematical Society