The Brown-Peterson homology of Mahowaldโs $X_ k$ spectra
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Abstract:
We compute the Brown-Peterson homology of Mahowaldโs ${X_k}$ spectrum which is the Thom spectrum induced from $\Omega {J_{{2^k} - 1}}{S^2} \to {\Omega ^2}{S^3} - {\text {BO}}$, and the edge homomorphism of the Adams-Novikov spectral sequence for ${\pi _\ast }({X_k})$. We then compute the nonnilpotent elements of ${\pi _\ast }({X_k})$.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 344 (1994), 261-289
- MSC: Primary 55Q10
- DOI: https://doi.org/10.1090/S0002-9947-1994-1272464-7
- MathSciNet review: 1272464