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| author | Juan Marin Noguera <juan@mnpi.eu> | 2022-12-04 22:49:17 +0100 |
|---|---|---|
| committer | Juan Marin Noguera <juan@mnpi.eu> | 2022-12-04 22:49:17 +0100 |
| commit | c34b47089a133e58032fe4ea52f61efacaf5f548 (patch) | |
| tree | 4242772e26a9e7b6f7e02b1d1e00dfbe68981345 /ga/n6.lyx | |
| parent | 214b20d1614b09cd5c18e111df0f0d392af2e721 (diff) | |
Oops
Diffstat (limited to 'ga/n6.lyx')
| -rw-r--r-- | ga/n6.lyx | 38 |
1 files changed, 19 insertions, 19 deletions
@@ -98,7 +98,7 @@ Si \end_inset dada por -\begin_inset Formula $h(\sigma):=f\circ\sigma\circ f^{-1}$ +\begin_inset Formula $h(\sigma)\coloneqq f\circ\sigma\circ f^{-1}$ \end_inset es un isomorfismo. @@ -168,7 +168,7 @@ mueve \series default en caso contrario. Llamamos -\begin_inset Formula $M(\sigma):=\{i\in\mathbb{N}_{n}\mid \sigma(i)\neq i\}$ +\begin_inset Formula $M(\sigma)\coloneqq \{i\in\mathbb{N}_{n}\mid \sigma(i)\neq i\}$ \end_inset , y es claro que @@ -377,7 +377,7 @@ trasposiciones \begin_layout Standard Dados -\begin_inset Formula $\sigma:=(i_{1}\,\dots\,i_{s})\in S_{n}$ +\begin_inset Formula $\sigma\coloneqq (i_{1}\,\dots\,i_{s})\in S_{n}$ \end_inset y @@ -561,11 +561,11 @@ Demostración: \end_inset dada por -\begin_inset Formula $i_{0}:=i$ +\begin_inset Formula $i_{0}\coloneqq i$ \end_inset e -\begin_inset Formula $i_{n}:=\sigma(i_{n-1})$ +\begin_inset Formula $i_{n}\coloneqq \sigma(i_{n-1})$ \end_inset , como los @@ -602,7 +602,7 @@ Demostración: \end_inset , y entonces -\begin_inset Formula $\tau:=(i_{0}\,\dots\,i_{k-1})$ +\begin_inset Formula $\tau\coloneqq (i_{0}\,\dots\,i_{k-1})$ \end_inset es un @@ -794,7 +794,7 @@ Dada una permutación \end_inset y un ciclo -\begin_inset Formula $\tau:=(i_{1}\,\dots\,i_{s})$ +\begin_inset Formula $\tau\coloneqq (i_{1}\,\dots\,i_{s})$ \end_inset , @@ -915,7 +915,7 @@ Si \end_inset dada por -\begin_inset Formula $\alpha(x):=\alpha_{i}(x)$ +\begin_inset Formula $\alpha(x)\coloneqq \alpha_{i}(x)$ \end_inset si @@ -923,7 +923,7 @@ Si \end_inset y -\begin_inset Formula $\alpha(x):=\beta(x)$ +\begin_inset Formula $\alpha(x)\coloneqq \beta(x)$ \end_inset si @@ -1012,7 +1012,7 @@ Dados \end_inset y -\begin_inset Formula $\alpha:=(2\,3)(3\,4)\cdots(j-1\,j)$ +\begin_inset Formula $\alpha\coloneqq (2\,3)(3\,4)\cdots(j-1\,j)$ \end_inset , @@ -1037,11 +1037,11 @@ status open \begin_layout Plain Layout Sean -\begin_inset Formula $\tau:=(1\,2)$ +\begin_inset Formula $\tau\coloneqq (1\,2)$ \end_inset y -\begin_inset Formula $\sigma:=(1\,2\,\dots\,n-1\,n)$ +\begin_inset Formula $\sigma\coloneqq (1\,2\,\dots\,n-1\,n)$ \end_inset , para @@ -1362,7 +1362,7 @@ status open \begin_layout Plain Layout Sean -\begin_inset Formula $\sigma:=(m\,n)$ +\begin_inset Formula $\sigma\coloneqq (m\,n)$ \end_inset una transposición con @@ -1496,7 +1496,7 @@ grupo alternado \end_inset elementos a -\begin_inset Formula $A_{n}:=\ker\text{sgn}$ +\begin_inset Formula $A_{n}\coloneqq \ker\text{sgn}$ \end_inset , el subgrupo de @@ -1757,7 +1757,7 @@ Queda probar que \end_inset con -\begin_inset Formula $r:=|M(\sigma)|$ +\begin_inset Formula $r\coloneqq |M(\sigma)|$ \end_inset mínimo, y queremos ver que @@ -1819,7 +1819,7 @@ Que en la factorización de con longitud al menos 3. Sea -\begin_inset Formula $\alpha:=(3\,4\,5)\in A_{n}$ +\begin_inset Formula $\alpha\coloneqq (3\,4\,5)\in A_{n}$ \end_inset , por la normalidad de @@ -1831,7 +1831,7 @@ Que en la factorización de \end_inset , luego -\begin_inset Formula $\beta:=\sigma^{-1}\sigma^{\alpha}\in H$ +\begin_inset Formula $\beta\coloneqq \sigma^{-1}\sigma^{\alpha}\in H$ \end_inset . @@ -1907,11 +1907,11 @@ Que (puede haber más transposiciones o no. Sean -\begin_inset Formula $\alpha:=(3\,4\,5)\in A_{n}$ +\begin_inset Formula $\alpha\coloneqq (3\,4\,5)\in A_{n}$ \end_inset y -\begin_inset Formula $\beta:=\sigma^{-1}\sigma^{\alpha}\in H$ +\begin_inset Formula $\beta\coloneqq \sigma^{-1}\sigma^{\alpha}\in H$ \end_inset . |
