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ESTIMATING THE SIZE OF THE 
$(H, G)$-COINCIDENCES SET IN REPRESENTATION SPHERES
Published online by Cambridge University Press: 17 October 2022
Abstract
Let W be a real vector space and let V be an orthogonal representation of a group G such that 
$V^{G} = \{0\}$ (for the set of fixed points of G). Let 
$S(V)$ be the sphere of V and suppose that 
$f: S(V) \to W$ is a continuous map. We estimate the size of the 
$(H, G)$-coincidences set if G is a cyclic group of prime power order 
$\mathbb {Z}_{p^k}$ or a p-torus 
$\mathbb {Z}_p^k$.
MSC classification
Primary:
55M20: Fixed points and coincidences
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- Research Article
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- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
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