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arXiv · 1503.04543

Rationality problems for relation modules of dihedral groups

Akinari Hoshi·Ming-chang Kang·Aiichi Yamasaki
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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}.

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BibTeXRIS

Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki. 2015-03-16. Rationality problems for relation modules of dihedral groups. https://arxiv.org/abs/1503.04543

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