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Fix mistake in proof lemma in dpa.tex
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aisejohan committed Mar 12, 2015
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Expand Up @@ -4,6 +4,7 @@
Kian Abolfazlian
Dan Abramovich
Juan Pablo Acosta Lopez
Shishir Agrawal
Jarod Alper
Dima Arinkin
Hanno Becker
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2 changes: 1 addition & 1 deletion dpa.tex
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Expand Up @@ -197,7 +197,7 @@ \section{Divided powers}
\gamma_j(y)^k\gamma_k(\gamma_i(x)) \\
& = \frac{(ki)!}{k!(i!)^k} \gamma_j(y)^k \gamma_{ki}(x) \\
& =
\frac{(ki)!}{k!(i!)^k} \frac{(kj)!}{k!(j!)^k} \gamma_{ik}(x) \gamma_{kj}(y)
\frac{(ki)!}{k!(i!)^k} \frac{(kj)!}{(j!)^k} \gamma_{ik}(x) \gamma_{kj}(y)
\end{align*}
using (3) in the first equality, (5) for $x$ in the second, and
(2) exactly $k$ times in the third. Using (5) for $y$ we see the
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