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authorJuan Marin Noguera <juan@mnpi.eu>2022-12-04 22:49:17 +0100
committerJuan Marin Noguera <juan@mnpi.eu>2022-12-04 22:49:17 +0100
commitc34b47089a133e58032fe4ea52f61efacaf5f548 (patch)
tree4242772e26a9e7b6f7e02b1d1e00dfbe68981345 /ga/n6.lyx
parent214b20d1614b09cd5c18e111df0f0d392af2e721 (diff)
Oops
Diffstat (limited to 'ga/n6.lyx')
-rw-r--r--ga/n6.lyx38
1 files changed, 19 insertions, 19 deletions
diff --git a/ga/n6.lyx b/ga/n6.lyx
index 6641cef..f90252e 100644
--- a/ga/n6.lyx
+++ b/ga/n6.lyx
@@ -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
.