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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
Abstract 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.