arXiv Analytics

Sign in

arXiv:0803.0539 [math.GT]AbstractReferencesReviewsResources

The abelianization of the level L mapping class group

Andrew Putman

Published 2008-03-04, updated 2017-04-18Version 3

We calculate the abelianizations of the level $L$ subgroup of the genus $g$ mapping class group and the level $L$ congruence subgroup of the $2g \times 2g$ symplectic group for $L$ odd and $g \geq 3$.

Comments: 9 pages, 1 figure; permanent preprint; added historical note discussing subsequent work on the subject
Categories: math.GT, math.GR
Related articles: Most relevant | Search more
arXiv:1201.3946 [math.GT] (Published 2012-01-18)
The Torelli group and congruence subgroups of the mapping class group
arXiv:0804.4789 [math.GT] (Published 2008-04-30)
The abelianization of the level 2 mapping class group
arXiv:0801.1589 [math.GT] (Published 2008-01-10)
Reduction theory for mapping class groups and applications to moduli spaces