Rationality problems for relation modules of dihedral groups
Number Theory
2017-11-02 v2 Algebraic Geometry
Group Theory
Abstract
Let D_n be the dihedral group of order 2n where n \ge 2, 1 \to R \to F \to D_n \to 1 be a free presentation of D_n. R^{ab}:=R/[R,R] becomes a \bm{Z}[D_n]-lattice. We will study the module structure and the rationality problem of R^{ab}.
Keywords
Cite
@article{arxiv.1503.04543,
title = {Rationality problems for relation modules of dihedral groups},
author = {Akinari Hoshi and Ming-chang Kang and Aiichi Yamasaki},
journal= {arXiv preprint arXiv:1503.04543},
year = {2017}
}
Comments
The title is changed slightly. The name of one of the authors, Akinari Hoshi, is corrected. Several places are improved at the suggestion of a referee. To appear in Journal of Algebra. arXiv admin note: text overlap with arXiv:1312.6738