FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 5, PAGES 197-207

I. V. Savel'ev

Abstract

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The article presents main results concerning smooth semifree actions of finite groups on spheres. One shows that for every holomorphic function having an isolated singularity, there exists a smooth semifree action on a (possibly homotopic) sphere where the fixed point set is the boundary for the singularity of the given function.

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Last modified: February 26, 2006