不允许s_5和sl(2,5)的光滑奇不动点作用的球

Pub Date : 2020-01-01 DOI:10.18910/73733

M. Morimoto, S. Tamura

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引用次数: 4

摘要

设G是一个有限群，Σ是一个具有光滑G作用的同调球。如果Σ的g不动点集由奇数个点组成，则Σ的维数可能是受限的。在本文中，我们在G = S5或SL(2,5)的情况下证实了这一说法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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SPHERES NOT ADMITTING SMOOTH ODD-FIXED-POINT ACTIONS OF S_5 AND SL(2, 5)

Let G be a finite group and Σ a homology sphere with smooth G-action. If the G-fixed-point set of Σ consists of odd-number points then the dimension of Σ could be restrictive. In this article we confirm the claim in the cases where G = S5 or SL(2, 5).

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