Mapping Class Groups of Low Genus and Their Cohomology

Download or read book Mapping Class Groups of Low Genus and Their Cohomology written by David J. Benson and published by American Mathematical Soc.. This book was released on 1991 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of papers is aimed towards the calculation of the cohomology of the mapping class group of a closed oriented surface of genus two. This is all 2, 3, and 5-torsion. The mod 5 cohomology is given in the first paper, the mod 3 cohomology in the second, and the mod 2 cohomology in the third. Along the way, we investigate many interesting properties of mapping class groups.