This paper is concerned with the Laitinen Conjecture. The conjecture predicts an answer to the Smith question which reads as follows. Is it true that for a finite group acting smoothly on a sphere with exactly two fixed points, the tangent spaces at the fixed points have always isomorphic group module structures defined by differentiation of the action? Using the technique of induction of group representations, we indicate a new infinite family of finite Oliver groups for which the Laitinen Conjecture holds.

中文翻译：

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满足莱蒂宁猜想的新的有限奥利弗群族

本文关注的是莱蒂宁猜想。该猜想预测了史密斯问题的答案，其内容如下。对于在恰好有两个不动点的球面上平滑作用的有限群，不动点处的切空间总是具有由动作微分定义的同构群模结构吗？使用群表示的归纳技术，我们指出了莱蒂宁猜想成立的一个新的有限奥利弗群的无限族。