J. Aust. Math. Soc.
74 (2003), 165171

Betti numbers of fixed point sets and multiplicities of indecomposable summands


Abstract

Let
be a finite group of even order,
be a field of characteristic 2, and
be a finitely generated
module. If
is realized by a compact
Moore space
, then the Betti numbers of the fixed point set
and the multiplicities of indecomposable
summands of
considered as a
module are related via a localization theorem in
equivariant cohomology, where
is a cyclic subgroup of
of order . Explicit formulas are given for
and .

Download the article in PDF format (size 64 Kb)


