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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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On root invariants of periodic classes in $\textrm {Ext}_ A(\textbf {Z}/2,\textbf {Z}/2)$
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by Paul Shick PDF
Trans. Amer. Math. Soc. 301 (1987), 227-237 Request permission

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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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 301 (1987), 227-237
  • MSC: Primary 55T15; Secondary 55S10
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0879570-3
  • MathSciNet review: 879570