English

Finiteness of minimal modular symbols for SL(n)

Number Theory 2007-05-23 v2

Abstract

Let K be a number field with ring of integers O, and let G be a finite-index subgroup of SL(n,O). Using a classical construction from the geometry of numbers and the theory of modular symbols, we exhibit a finite spanning set for the highest nonvanishing rational cohomology group of G.

Keywords

Cite

@article{arxiv.math/9809166,
  title  = {Finiteness of minimal modular symbols for SL(n)},
  author = {Paul E. Gunnells},
  journal= {arXiv preprint arXiv:math/9809166},
  year   = {2007}
}

Comments

6 pages, 1 figure, AMS-LaTeX, uses psfrag.sty, incorporates referee's comments

R2 v1 2026-07-22T18:00:14.108Z