Geodesic
The Smith-Toda complex $V((p+1)/2)$ does not exist
Annals of mathematics, Tome 171 (2010) no. 1, pp. 491-509.

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Using a generalized homotopy fixed point spectral sequence due to Hopkins and Miller, we show that the Smith-Toda complex $V((p+1)/2)$ does not exist for $p$ a prime greater than 5. This extends earlier results of Toda and Ravenel for the primes 2, 3, and 5. It is also shown that if $V((p-1)/2)$ exists, it is not a ring spectrum. 
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     title = {The {Smith-Toda} complex $V((p+1)/2)$  does not exist},
     journal = {Annals of mathematics},
     pages = {491--509},
     publisher = {mathdoc},
     volume = {171},
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     year = {2010},
     doi = {10.4007/annals.2010.171.491},
     mrnumber = {2630045},
     zbl = {1194.55017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.491/}
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Lee S. Nave. The Smith-Toda complex $V((p+1)/2)$  does not exist. Annals of mathematics, Tome 171 (2010) no. 1, pp. 491-509. doi : 10.4007/annals.2010.171.491. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.491/

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