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Djibuti nos Jogos Olímpicos de Verão de 1992 Comitê Olímpico Nacional Código do COI DJI Nome Comité National Olympique et Sportif Djiboutien Jogos Olímpicos de Verão de 1992 Sede Barcelona, Espanha Medalhas Pos. n/d 0 0 0 0 Participações nos Jogos Olímpicos Verão 1984 • 1988 • 1992 • 1996 • 2000 • 2004 • 2008 • 2012 • 2016 ...

4 2 $begingroup$ In the group $S_n$ I usually use the fact that if $(a_1 a_2 dots a_r) in S_n$ is an r-cycle and $sigma in S_n$ then $sigma (a_1 a_2 dots a_r)sigma^{-1} = (sigma(a_1)sigma(a_2) dots sigma(a_r))$. My question is: does this use the convention that permutations act from left-to-right, or right-to-left? Here's a proof for this identity: Let $rho in S_n$ be such that $rho (a_i) = rho(a_{i+1 text{ (mod } r)})$, in other words $rho = (sigma(a_1) sigma(a_2) dots sigma(a_r))$. Then $a_i overset{sigma}{longmapsto} sigma(a_i) overset{rho}{longmapsto} sigma(a_{i+1}) overset{sigma^{-1}}{longmapsto} a_{i+1} implies sigma^{-1}rhosigma=(a_1 a_2 dots a_r)$ and $sigma(a_1 a_2 dots a_r)sigma^{-1} = (sigma(a_1) sigma(a_2) dots sigma(a_r)) = rho$. Here I have used the convention that permutations act from ri...