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Betti numbers of fixed point sets and multiplicities of indecomposable summands
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Date
2003-04-01
Author
Öztürk, Semra
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Let G be a finite group of even order, k be a field of characteristic 2, and M be a finitely generated kG-module. If M is realized by a compact G-Moore space X, then the Betti numbers of the fixed point set X-Cn and the multiplicities of indecomposable summands of M considered as a kC(n)-module are related via a localization theorem in equivariant cohomology, where C-n is a cyclic subgroup of G of order n. Explicit formulas are given for n = 2 and n = 4.
Subject Keywords
General Mathematics
URI
https://hdl.handle.net/11511/47912
Journal
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
DOI
https://doi.org/10.1017/s1446788700003220
Collections
Department of Mathematics, Article
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S. Öztürk, “Betti numbers of fixed point sets and multiplicities of indecomposable summands,”
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
, pp. 165–171, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47912.