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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 5, Pages 197–207 (Mi fpm875)  
Semifree actions on spheres

I. V. Savel'ev

Institute for New Technology in Education
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Abstract: 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.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 146, Issue 1, Pages 5584–5591
DOI: https://doi.org/10.1007/s10958-007-0371-3
Bibliographic databases:
UDC: 515.164.8
Language: Russian
Citation: I. V. Savel'ev, “Semifree actions on spheres”, Fundam. Prikl. Mat., 11:5 (2005), 197–207; J. Math. Sci., 146:1 (2007), 5584–5591
Citation in format AMSBIB
\Bibitem{Sav05}
\by I.~V.~Savel'ev
\paper Semifree actions on spheres
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 5
\pages 197--207
\mathnet{http://mi.mathnet.ru/fpm875}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2216862}
\zmath{https://zbmath.org/?q=an:1155.57034}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 146
\issue 1
\pages 5584--5591
\crossref{https://doi.org/10.1007/s10958-007-0371-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548780910}
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    		Фундаментальная и прикладная математика
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