Betti numbers of fixed point sets and multiplicities of indecomposable summands
2003 ◽
Vol 74
(2)
◽
pp. 165-172
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AbstractLet 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 XCn and the multiplicities of indecomposable summands of M considered as a kCn-module are related via a localization theorem in equivariant cohomology, where Cn is a cyclic subgroup of G of order n. Explicit formulas are given for n = 2 and n = 4.
2020 ◽
pp. 213-220
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2014 ◽
Vol 2014
(1)
◽
pp. 51
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2008 ◽
Vol 341
(2)
◽
pp. 1445-1456
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2020 ◽
Vol 29
(04)
◽
pp. 2050021
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