Let 
be an arbitrary odd prime number greater than eleven and
be the mod Steenrod algebra. In this paper, it has proved that the product 
is nontrivial and converges to 
nontrivially of order in 
, where 
,
by making use of the Adams spectral sequence.
| Published in | Applied and Computational Mathematics (Volume 6, Issue 4) |
| DOI | 10.11648/j.acm.20170604.17 |
| Page(s) | 196-201 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Steenrod Algebra, Cohomology, May Spectral Sequence, Stable Homotopy of Spheres
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APA Style
Wang Chong. (2017). A Nontrivial Product in the Stable Homotopy of Spheres. Applied and Computational Mathematics, 6(4), 196-201. https://doi.org/10.11648/j.acm.20170604.17
ACS Style
Wang Chong. A Nontrivial Product in the Stable Homotopy of Spheres. Appl. Comput. Math. 2017, 6(4), 196-201. doi: 10.11648/j.acm.20170604.17
AMA Style
Wang Chong. A Nontrivial Product in the Stable Homotopy of Spheres. Appl Comput Math. 2017;6(4):196-201. doi: 10.11648/j.acm.20170604.17
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Download@article{10.11648/j.acm.20170604.17,
author = {Wang Chong},
title = {A Nontrivial Product in the Stable Homotopy of Spheres},
journal = {Applied and Computational Mathematics},
volume = {6},
number = {4},
pages = {196-201},
doi = {10.11648/j.acm.20170604.17},
url = {https://doi.org/10.11648/j.acm.20170604.17},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20170604.17},
abstract = {Let be an arbitrary odd prime number greater than eleven andbe the mod Steenrod algebra. In this paper, it has proved that the product is nontrivial and converges to nontrivially of order in , where , by making use of the Adams spectral sequence.},
year = {2017}
}
TY - JOUR T1 - A Nontrivial Product in the Stable Homotopy of Spheres AU - Wang Chong Y1 - 2017/08/07 PY - 2017 N1 - https://doi.org/10.11648/j.acm.20170604.17 DO - 10.11648/j.acm.20170604.17 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 196 EP - 201 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20170604.17 AB - Let be an arbitrary odd prime number greater than eleven andbe the mod Steenrod algebra. In this paper, it has proved that the product is nontrivial and converges to nontrivially of order in , where , by making use of the Adams spectral sequence. VL - 6 IS - 4 ER -
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