On root invariants of periodic classes in 𝐸𝑥𝑡_{𝐴}(𝑍/2,𝑍/2)

Shick, Paul

doi:10.1090/S0002-9947-1987-0879570-3

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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 th generator of ${\pi _ \ast }({\text{BP}})$ .

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