Mapping Class Groups of Low Genus and Their Cohomology: Part 1

David J. Benson‏ · Frederick Ronald Cohen‏

ינו׳ 1991 · American Mathematical Society: Memoirs of the American Mathematical Society ספר 443 · American Mathematical Soc.

מידע על הספר הדיגיטלי הזה

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.