English

Computing the negative $K$-theory of finite groups of order $\leq 100$

K-Theory and Homology 2024-11-05 v2 Group Theory

Abstract

We outline how the group K1(Z[G])K_{-1}( \mathbb{Z}[G] ) for a finite group GG can be computed using the computer language GAPGAP and compile a table of all groups GG of order less than 100100 that have torsion in K1(Z[G])K_{-1}( \mathbb{Z}[G] ).

Keywords

Cite

@article{arxiv.2410.14446,
  title  = {Computing the negative $K$-theory of finite groups of order $\leq 100$},
  author = {Georg Lehner},
  journal= {arXiv preprint arXiv:2410.14446},
  year   = {2024}
}