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Matematicheskie Zametki, 2001, Volume 69, Issue 1, Pages 100–112
DOI: https://doi.org/10.4213/mzm487 (Mi mzm487) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Least Number of Fixed Points of an Equivariant Map

T. N. Fomenko

Moscow State Institute of Steel and Alloys (Technological University)
Full-text PDF (830 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm487
Abstract: The problem on the least number of fixed points of an equivariant map of a compact polyhedron on which a finite group acts is considered. For such a map, the least number of fixed points and the least number of fixed orbits are estimated in terms of invariants of the type of Nielsen numbers. The estimates obtained are sharp. The results are similar to those of P. Wong, but their assumptions are essentially weaker. Some notations are refined. The proofs are constructive.
Received: 02.12.1999
English version:
Mathematical Notes, 2001, Volume 69, Issue 1, Pages 88–98
DOI: https://doi.org/10.1023/A:1002847613427
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: T. N. Fomenko, “On the Least Number of Fixed Points of an Equivariant Map”, Mat. Zametki, 69:1 (2001), 100–112; Math. Notes, 69:1 (2001), 88–98
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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