Publication Date
2002
Journal or Book Title
JOURNAL OF NUMBER THEORY
Abstract
Let N>1 be an integer, and let Γ=Γ0(N)SL4( ) be the subgroup of matrices with bottom row congruent to (0, 0, 0, *) modN. We compute H5(Γ; ) for a range of N and compute the action of some Hecke operators on many of these groups. We relate the classes we find to classes coming from the boundary of the Borel–Serre compactification, to Eisenstein series, and to classical holomorphic modular forms of weights 2 and 4.
Pages
181-212
Volume
94
Issue
1
Recommended Citation
Ash, A; Gunnells, PE; and McConnell, M, "Cohomology of congruence subgroups of SL4(Z)" (2002). JOURNAL OF NUMBER THEORY. 406.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/406
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WKD-45V80C6-S&_user=1516330&_coverDate=05%2F31%2F2002&_rdoc=9&_fmt=high&_orig=browse&_origin=browse&_zone=rslt_list_item&_srch=doc-info(%23toc%236904%232002%23999059998%23316426%23FLP%23display%23Volume)&_cdi=6904&_sort=d&_docanchor=&_ct=9&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=c33ee9ea56a77398a1e39e45942c349a&searchtype=a