On the Least Number of Fixed Points of an Equivariant Map |
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| Authors: | Fomenko T N |
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| Institution: | (1) Moscow Institute of Steel and, Alloys (Technological University), Russia |
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| 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. |
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| Keywords: | G-space fixed points fixed orbits equivariant map equivariant homotopy Nielsen numbers Weyl group isotropy group isotropy type equivariant Jiang condition |
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