On universal modular symbols
K-Theory and Homology
2021-08-24 v2 Number Theory
Abstract
We clarify the relationship between works of Lee-Szczarba and Ash-Rudolph on the homology of the Steinberg module of a linear Tits building. This yields a simple proof of the Solomon-Tits theorem in this special case. We also give a (weak) relationship between this combinatorics and the one studied by van der Kallen, Suslin and Nesterenko to compute the homology of the general linear group with constant coefficients.
Keywords
Cite
@article{arxiv.1407.0475,
title = {On universal modular symbols},
author = {Bruno Kahn and Fei Sun},
journal= {arXiv preprint arXiv:1407.0475},
year = {2021}
}
Comments
On p. 3, replaced "compounded" with "compensated"