diff --git a/tex/diagram_groups.tex b/tex/diagram_groups.tex new file mode 100644 index 0000000000000000000000000000000000000000..fcdd94653964a39a1a4b3a8f0f2dcb91cbedff49 --- /dev/null +++ b/tex/diagram_groups.tex @@ -0,0 +1,50 @@ +\documentclass{standalone} +\usepackage[T1]{fontenc} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{parskip} +\usepackage{marvosym} %Lightning symbol +\usepackage[usenames,dvipsnames]{color} +\usepackage[hidelinks]{hyperref} +\renewcommand*{\familydefault}{\sfdefault} + +\usepackage{bbm} %For \mathbbm{1} +%\usepackage{bbold} +\usepackage{tikz} + +\begin{document} + +\begin{tikzpicture}[scale=0.8] + \def\r{2.5}; + + % Line and circles + \foreach \a in {0,...,23} { + \draw[-] ({\a*15}:\r) -- ({(\a+1)*15}:\r); + \draw ({\a*15}:\r) circle (0.05); + } + + % Red dots + \foreach \a in {-3,0,2,3,4,5,6} { + \draw[fill,red] ({\a*15}:\r) circle (0.12); + } + % Red label + \draw [fill,red] ({2*15}:\r/2) circle (0.12); + \draw ({2*15}:\r/2) +(0,-0.3) node {zeroes of $b_2$}; + + % Blue squares + \foreach \a in {9,10,11,14,16,17} { + \draw[fill,blue] ({\a*15}:\r) +(-0.15,-0.1) -- +(0.15,-0.1) -- +(0,0.15); + } + % Blue label + \draw[fill,blue] ({12*15}:\r/2) +(-0.15,-0.1) -- +(0.15,-0.1) -- +(0,0.15); + \draw ({12*15}:\r/2) +(0,-0.3) node {zeroes of $b_1$}; + + % Arrows + \draw[->] ({7*15}:\r-1) -- ({7*15}:\r-0.2); + \draw[->] ({20*15}:\r-1) -- ({20*15}:\r-0.2); + % Labels j1 j2 + \draw ({7*15}:\r-1) +(0,-0.2) node {$v$}; + \draw ({20*15}:\r-1) +(0,+0.2) node {$w$}; + +\end{tikzpicture} +\end{document}