Cohomology of congruence subgroups of SL4(Z)

Authors

A Ash
PE Gunnells, University of Massachusetts - AmherstFollow
M McConnell

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.

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

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