Simple Hurwitz groups and eta invariant

DOI Web Site 参考文献28件

この論文をさがす

抄録

<p>A Hurwitz group is a conformal automorphism group of a compact Riemann surface with precisely 84(𝑔 − 1) automorphisms, where 𝑔 is the genus of the surface. Our starting point is a result on the smallest Hurwitz group PSL(2,𝔽7) which is the automorphism group of the Klein surface. In this paper, we generalize it to various classes of simple Hurwitz groups and discuss a relationship between the surface symmetry and spectral asymmetry for compact Riemann surfaces. To be more precise, we show that the reducibility of an element of a simple Hurwitz group is equivalent to the vanishing of the 𝜂-invariant of the corresponding mapping torus. Several wide classes of simple Hurwitz groups which include the alternating group, the Chevalley group and the Monster, which is the largest sporadic simple group, satisfy our main theorem.</p>

収録刊行物

参考文献 (28)*注記

もっと見る

関連プロジェクト

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ