Betti numbers of fixed point sets and multiplicities of indecomposable summands

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2003-04-01

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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

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Department of Mathematics, Article

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Citation Formats

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.