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definition:composition_combination_of_permutations

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definition:composition_combination_of_permutations [2013/11/21 11:13]
tarafife 		definition:composition_combination_of_permutations [2013/11/21 11:14] (current)
tarafife [$\LaTeX$ version]
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 \item The span of $S$, written $\text{span}(S)$ is the set of all composition combinations of permutations in $S$. We'll say that the set $S$ generates $\text{span}(S)$. \item The span of $S$, written $\text{span}(S)$ is the set of all composition combinations of permutations in $S$. We'll say that the set $S$ generates $\text{span}(S)$.
 As an example, if $S=\{a,b,c,d\}$ is a set of permutations of $X$, then the composition $a^2\circ b^{-1}\circ c^3$ is a composition combination of permutations in $S$, and so are $d^{-3}$, $b^5\circ a^{-2}$, and more.  As an example, if $S=\{a,b,c,d\}$ is a set of permutations of $X$, then the composition $a^2\circ b^{-1}\circ c^3$ is a composition combination of permutations in $S$, and so are $d^{-3}$, $b^5\circ a^{-2}$, and more. 
 +\end{itemize}
 \end{definition} \end{definition}
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definition/composition_combination_of_permutations.1385050431.txt.gz · Last modified: 2013/11/21 11:13 by tarafife

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