No CrossRef data available.
Article contents
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
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20230305132902986-0639:S0004972722001125:S0004972722001125_inline206.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20230305132902986-0639:S0004972722001125:S0004972722001125_inline207.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20230305132902986-0639:S0004972722001125:S0004972722001125_inline208.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20230305132902986-0639:S0004972722001125:S0004972722001125_inline209.png?pub-status=live)