On isolated fixed points of group actions on poincaré complexes | Zendy

Hodgson J. P. E. | Zendy

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On isolated fixed points of group actions on poincaré complexes

Author(s) -

Hodgson J. P. E.

Publication year - 1974

Publication title -

mathematika

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.955

H-Index - 29

eISSN - 2041-7942

pISSN - 0025-5793

DOI - 10.1112/s0025579300005866

Subject(s) - mathematics , fixed point , simplicial complex , poincaré duality , simplicial approximation theorem , group action , prime (order theory) , pure mathematics , dimension (graph theory) , group (periodic table) , action (physics) , abstract simplicial complex , simplicial homology , combinatorics , simplicial set , mathematical analysis , cohomology , physics , organic chemistry , quantum mechanics , chemistry , homotopy , homotopy category

In this paper it is shown that a simplicial action of Z p ( p a prime) on an n ‐dimensional simplicial complex which is a Poincaré duality space of formal dimension n for Z p coefficients cannot have just one isolated fixed point.

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