The image of $H_ \ast (B\textrm {SU};Z_ p)$ in $H_ \ast (B\textrm {U};Z_ p)$
HTML articles powered by AMS MathViewer
- by Stavros Papastavridis PDF
- Proc. Amer. Math. Soc. 107 (1989), 1075-1077 Request permission
Abstract:
In this note we construct explicit polynomial generators for the image of ${H_ * }\left ( {BSU;{Z_p}} \right )$ inside ${H_ * }\left ( {BU;{Z_p}} \right )$.References
- Anthony P. Bahri, Polynomial generators for $H_\ast (B\textrm {SO};\,Z_{2}),$ $H_\ast (B\textrm {Spin};\,Z_{2})$ and $H_\ast (B\textrm {O}\langle 8\rangle ;\,Z_{2})$ arising from the Bar construction, Current trends in algebraic topology, Part 1 (London, Ont., 1981) CMS Conf. Proc., vol. 2, Amer. Math. Soc., Providence, R.I., 1982, pp. 419–428. MR 686128
- Andrew Baker, More homology generators for $B\textrm {SO}$ and $B\textrm {SU}$, Current trends in algebraic topology, Part 1 (London, Ont., 1981) CMS Conf. Proc., vol. 2, Amer. Math. Soc., Providence, R.I., 1982, pp. 429–435. MR 686129
- Brayton Gray, Products in the Atiyah-Hirzebruch spectral sequence and the calculation of $M\textrm {SO}_\ast$, Trans. Amer. Math. Soc. 260 (1980), no. 2, 475–483. MR 574793, DOI 10.1090/S0002-9947-1980-0574793-9
- Stanley O. Kochman, Polynomial generators for $H_\ast (B\textrm {SU})$ and $H_\ast (B\textrm {SO};\ Z_{2})$, Proc. Amer. Math. Soc. 84 (1982), no. 1, 149–154. MR 633297, DOI 10.1090/S0002-9939-1982-0633297-2
- Stanley O. Kochman, Integral polynomial generators for the homology of $B\textrm {SU}$, Proc. Amer. Math. Soc. 86 (1982), no. 1, 179–183. MR 663892, DOI 10.1090/S0002-9939-1982-0663892-6
- Arunas Liulevicius, Homology comodules, Trans. Amer. Math. Soc. 134 (1968), 375–382. MR 251720, DOI 10.1090/S0002-9947-1968-0251720-X S. Papastavridis, The image of ${H_ * }\left ( {BSO;{Z_2}} \right )$ in ${H_ * }\left ( {BO;{Z_2}} \right )$, Proc. Amer. Math. Soc. (to appear).
- David J. Pengelley, The mod two homology of $M\textrm {SO}$ and $M\textrm {SU}$ as $A$ comodule algebras, and the cobordism ring, J. London Math. Soc. (2) 25 (1982), no. 3, 467–472. MR 657503, DOI 10.1112/jlms/s2-25.3.467 —, The $A$-algebra structure of Thom spectra. MSO as an example, Canad. Math. Soc. Conf. Proc., Vol. 2, part 1, 1982, pp. 511-513.
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 1075-1077
- MSC: Primary 55R40; Secondary 55R45
- DOI: https://doi.org/10.1090/S0002-9939-1989-1019757-X
- MathSciNet review: 1019757