<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Constructing homologically trivial actions on products of spheres </dc:title>
<dc:creator>Ozgun Unlu</dc:creator><dc:creator>Ergun Yalcin</dc:creator>
<dc:subject>57S25</dc:subject><dc:subject>55R91</dc:subject><dc:subject>group actions</dc:subject><dc:subject>products of spheres</dc:subject>
<dc:description>We prove that if a finite group $G$ has a representation with fixity $f$, then it acts freely and homologically trivially on a finite CW-complex homotopy equivalent to a product of $f+1$ spheres. This shows, in particular, that every finite group acts freely and homologically trivially on some finite CW-complex homotopy equivalent to a product of spheres.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2013</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2013.62.5007</dc:identifier>
<dc:source>10.1512/iumj.2013.62.5007</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 62 (2013) 927 - 945</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>