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<title>GAP (HAP) - Chapter 3:  Induced equivariant chain maps</title>
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<div class="ChapSects"><a href="chap3.html#X7E91068780486C3A">3. <span class="Heading"> Induced equivariant chain maps</span></a>
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<h3>3. <span class="Heading"> Induced equivariant chain maps</span></h3>

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<td class="tdleft"><code class="code"> EquivariantChainMap(R,S,f)</code></p>

<p>Inputs a ZG-resolution R, a ZG'-resolution S, and a group homomorphism f : G --&gt; G'. It outputs a component object M with the following components.</p>


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<li><p>M!.source is the resolution R.</p>

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<li><p>M!.target is the resolution S.</p>

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<li><p>M!.mapping(w,n) is a function which gives the image in S_n, under a chain map induced by f, of a word w in R_n. (Here R_n and S_n are the n-th modules in the resolutions R and S.)</p>

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<li><p>F!.properties is a list of pairs such as ["type", "equivariantChainMap"].</p>

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<p>The resolution S must have a contracting homotopy.</td>
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