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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


A converse of the Borel formula

Author: Ronald M. Dotzel
Journal: Trans. Amer. Math. Soc. 250 (1979), 275-287
MSC: Primary 55M35
MathSciNet review: 530056
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Abstract: When an elementary Abelian p-group acts on a $ {Z_p}$-homology sphere (p a prime), it is known that the Borel formula must hold. Here we ask that the Borel formula hold and determine how this restricts, homologically, the type of space which can occur, assuming spherical fixed sets and connectedness. This is done by constructing a linear model of the action and an equivariant map to the model, the mapping cone of which yields certain homological information.

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PII: S 0002-9947(1979)0530056-0
Article copyright: © Copyright 1979 American Mathematical Society