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<!DOCTYPE html> <html lang="en"> <head> <title>numActors -- number of acting elements</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="finite group characters on free resolutions and graded modules" href="index.html">BettiCharacters</a> » <a title="group elements of an action" href="_actors.html">actors</a> » <a title="number of acting elements" href="_num__Actors.html">numActors</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> next | <a href="_inverse__Ring__Actors.html">previous</a> | <a href="_character.html">forward</a> | <a href="_inverse__Ring__Actors.html">backward</a> | <a href="_actors.html">up</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>numActors -- number of acting elements</h1> <ul> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">numActors(A)</code></dd> </dl> </li> <li>Inputs: <ul> <li><span><span class="tt">A</span>, <span>an instance of the type <a title="the class of all finite group actions" href="___Action.html">Action</a></span>, </span></li> </ul> </li> <li>Outputs: <ul> <li><span><span>an <a title="the class of all integers" href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, </span></li> </ul> </li> </ul> <div> <h2>Description</h2> <div> <p>Returns the number of group elements passed by the user when defining the given action. This number is not necessarily the order of the acting group because in order to compute characters it is enough to work with a representative of each conjugacy class of the group.</p> </div> </div> <div> <h2>See also</h2> <ul> <li><span><a title="define finite group action" href="_action.html">action</a> -- define finite group action</span></li> </ul> </div> <div> <div class="waystouse"> <h2>Ways to use <span class="tt">numActors</span>:</h2> <ul> <li><kbd>numActors(Action)</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="number of acting elements" href="_num__Actors.html">numActors</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function.html">method function</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">BettiCharacters.m2:2846:0</span>.</p> </div> </div> </div> </body> </html>