"정이십면체 뫼비우스 변환군"의 두 판 사이의 차이

2012년 7월 24일 (화) 12:01 판

\(G_{60}=\langle S,T|S^5=T^2=(TS)^3\rangle\subset \operatorname{PSL}(2,\mathbb{C})\)

\(S=\left( \begin{array}{cc} \zeta ^3 & 0 \\ 0 & \zeta ^2 \end{array} \right)\) order 5

\(\sqrt{5}T=\left( \begin{array}{cc} \zeta -\zeta ^4 & \zeta ^3-\zeta ^2 \\ \zeta ^3-\zeta ^2 & \zeta ^4-\zeta \end{array} \right)\) order 2

\(W=TS\) : order 3

@@ 9번째 줄: / 9번째 줄: @@
 <h5>개요</h5>
-* <math>G_{60}=\langle S,T\rangle\subset \operatorname{PSL}(2,\mathbb{C})</math>
+* <math>G_{60}=\langle S,T|S^5=T^2=(TS)^3\rangle\subset \operatorname{PSL}(2,\mathbb{C})</math>
@@ 15번째 줄: / 15번째 줄: @@
-<math>S=\left( \begin{array}{cc}  \zeta ^3 & 0 \\  0 & \zeta ^2 \end{array} \right)</math>
+<math>S=\left( \begin{array}{cc}  \zeta ^3 & 0 \\  0 & \zeta ^2 \end{array} \right)</math> order 5
-<math>\sqrt{5}T=\left( \begin{array}{cc}  \zeta -\zeta ^4 & \zeta ^3-\zeta ^2 \\  \zeta ^3-\zeta ^2 & \zeta ^4-\zeta  \end{array} \right)</math>
+<math>\sqrt{5}T=\left( \begin{array}{cc}  \zeta -\zeta ^4 & \zeta ^3-\zeta ^2 \\  \zeta ^3-\zeta ^2 & \zeta ^4-\zeta  \end{array} \right)</math> order 2
+<math>W=TS</math> : order 3
@@ 89번째 줄: / 87번째 줄: @@
 * http://ko.wikipedia.org/wiki/
-* http://en.wikipedia.org/wiki/
+* http://en.wikipedia.org/wiki/Icosahedral_group
 * [http://eom.springer.de/default.htm The Online Encyclopaedia of Mathematics]
 * [http://dlmf.nist.gov NIST Digital Library of Mathematical Functions]