One Hat Cyber Team

One Hat Cyber Team

Your IP : 216.73.216.135

Server IP : 194.44.31.54

Server : Linux zen.imath.kiev.ua 4.18.0-553.77.1.el8_10.x86_64 #1 SMP Fri Oct 3 14:30:23 UTC 2025 x86_64

Server Software : Apache/2.4.37 (Rocky Linux) OpenSSL/1.1.1k

PHP Version : 5.6.40

Buat File | Buat Folder

Dir : ~/usr/share/doc/Macaulay2/BettiCharacters/html/

Edit File: _action.html

<!DOCTYPE html>
<html lang="en">
  <head>
    <title>action -- define finite group action</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="define finite group action" href="_action.html">action</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>
<a href="_actors.html">next</a> | previous | <a href="___Action.html">forward</a> | <a href="index.html">backward</a> | <a href="index.html">up</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a>      </div>
    </div>
    <hr>
    <div>
      <h1>action -- define finite group action</h1>
      <div>
        <h2>Description</h2>
        <div>
          <p>Use this function to set up a finite group action on a minimal free resolution or graded module. See the specific use cases for more details.</p>
        </div>
      </div>
      <div>
        <h3>Menu</h3>
        <ul>
          <li><span><a title="the class of all finite group actions" href="___Action.html">Action</a> -- the class of all finite group actions</span></li>
          <li><span><a title="define finite group action on a resolution" href="_action_lp__Complex_cm__List_cm__List_cm__Z__Z_rp.html">action(Complex,List,List,ZZ)</a> -- define finite group action on a resolution</span></li>
          <li><span><a title="define finite group action on a graded module" href="_action_lp__Module_cm__List_cm__List_rp.html">action(Module,List,List)</a> -- define finite group action on a graded module</span></li>
          <li><span><a title="format ring actors as one-row substitution matrices" href="___Sub.html">Sub</a> -- format ring actors as one-row substitution matrices</span></li>
        </ul>
      </div>
      <div>
        <div class="waystouse">
          <h2>Ways to use <span class="tt">action</span>:</h2>
          <ul>
            <li><span><kbd>action(Complex,List)</kbd> -- see <span><a title="define finite group action on a resolution" href="_action_lp__Complex_cm__List_cm__List_cm__Z__Z_rp.html">action(Complex,List,List,ZZ)</a> -- define finite group action on a resolution</span></span></li>
            <li><span><a title="define finite group action on a resolution" href="_action_lp__Complex_cm__List_cm__List_cm__Z__Z_rp.html">action(Complex,List,List,ZZ)</a> -- define finite group action on a resolution</span></li>
            <li><span><kbd>action(Ideal,List)</kbd> -- see <span><a title="define finite group action on a graded module" href="_action_lp__Module_cm__List_cm__List_rp.html">action(Module,List,List)</a> -- define finite group action on a graded module</span></span></li>
            <li><span><kbd>action(Ideal,List,List)</kbd> -- see <span><a title="define finite group action on a graded module" href="_action_lp__Module_cm__List_cm__List_rp.html">action(Module,List,List)</a> -- define finite group action on a graded module</span></span></li>
            <li><span><kbd>action(Module,List)</kbd> -- see <span><a title="define finite group action on a graded module" href="_action_lp__Module_cm__List_cm__List_rp.html">action(Module,List,List)</a> -- define finite group action on a graded module</span></span></li>
            <li><span><a title="define finite group action on a graded module" href="_action_lp__Module_cm__List_cm__List_rp.html">action(Module,List,List)</a> -- define finite group action on a graded module</span></li>
            <li><span><kbd>action(PolynomialRing,List)</kbd> -- see <span><a title="define finite group action on a graded module" href="_action_lp__Module_cm__List_cm__List_rp.html">action(Module,List,List)</a> -- define finite group action on a graded module</span></span></li>
            <li><span><kbd>action(PolynomialRing,List,List)</kbd> -- see <span><a title="define finite group action on a graded module" href="_action_lp__Module_cm__List_cm__List_rp.html">action(Module,List,List)</a> -- define finite group action on a graded module</span></span></li>
            <li><span><kbd>action(QuotientRing,List)</kbd> -- see <span><a title="define finite group action on a graded module" href="_action_lp__Module_cm__List_cm__List_rp.html">action(Module,List,List)</a> -- define finite group action on a graded module</span></span></li>
            <li><span><kbd>action(QuotientRing,List,List)</kbd> -- see <span><a title="define finite group action on a graded module" href="_action_lp__Module_cm__List_cm__List_rp.html">action(Module,List,List)</a> -- define finite group action on a graded module</span></span></li>
          </ul>
        </div>
        <div class="waystouse">
          <h2>For the programmer</h2>
          <p>The object <a title="define finite group action" href="_action.html">action</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function__With__Options.html">method function with options</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>